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Finding the Fourth Proportional to 272,395.42, 408,593.13 and 85,421.50

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Solution

The fourth proportional to 272,395.42, 408,593.13 and 85,421.50 is: 128,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,395.42 : 408,593.13 = 85,421.50 : x
  2. Step 2: Convert to fraction form
    272,395.42/408,593.13 = 85,421.50/x
  3. Step 3: Cross multiply
    272,395.42x = 408,593.13 × 85,421.50
  4. Step 4: Simplify right side
    272,395.42x = 34,902,638,054.30
  5. Step 5: Solve for x
    x = 34,902,638,054.30/272,395.42
  6. Step 6: Final answer
    x = 128,132.25

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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.