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Finding the Fourth Proportional to 209,813.42, 314,346.98 and 120,883.20

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Solution

The fourth proportional to 209,813.42, 314,346.98 and 120,883.20 is: 181,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,813.42 : 314,346.98 = 120,883.20 : x
  2. Step 2: Convert to fraction form
    209,813.42/314,346.98 = 120,883.20/x
  3. Step 3: Cross multiply
    209,813.42x = 314,346.98 × 120,883.20
  4. Step 4: Simplify right side
    209,813.42x = 37,999,268,852.74
  5. Step 5: Solve for x
    x = 37,999,268,852.74/209,813.42
  6. Step 6: Final answer
    x = 181,109.81

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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.