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Finding the Fourth Proportional to 209,412, 314,218.80 and 104,240.16

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Solution

The fourth proportional to 209,412, 314,218.80 and 104,240.16 is: 156,410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,412 : 314,218.80 = 104,240.16 : x
  2. Step 2: Convert to fraction form
    209,412/314,218.80 = 104,240.16/x
  3. Step 3: Cross multiply
    209,412x = 314,218.80 × 104,240.16
  4. Step 4: Simplify right side
    209,412x = 32,754,217,987.01
  5. Step 5: Solve for x
    x = 32,754,217,987.01/209,412
  6. Step 6: Final answer
    x = 156,410.42

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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.