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Finding the Fourth Proportional to 209,952,071.20, 314,928,106.80 and 102,456,647.20

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Solution

The fourth proportional to 209,952,071.20, 314,928,106.80 and 102,456,647.20 is: 153,684,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,071.20 : 314,928,106.80 = 102,456,647.20 : x
  2. Step 2: Convert to fraction form
    209,952,071.20/314,928,106.80 = 102,456,647.20/x
  3. Step 3: Cross multiply
    209,952,071.20x = 314,928,106.80 × 102,456,647.20
  4. Step 4: Simplify right side
    209,952,071.20x = 32,266,477,931,771,524
  5. Step 5: Solve for x
    x = 32,266,477,931,771,524/209,952,071.20
  6. Step 6: Final answer
    x = 153,684,970.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.