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Finding the Fourth Proportional to 272,398.42, 408,597.64 and 85,424.50

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Solution

The fourth proportional to 272,398.42, 408,597.64 and 85,424.50 is: 128,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,398.42 : 408,597.64 = 85,424.50 : x
  2. Step 2: Convert to fraction form
    272,398.42/408,597.64 = 85,424.50/x
  3. Step 3: Cross multiply
    272,398.42x = 408,597.64 × 85,424.50
  4. Step 4: Simplify right side
    272,398.42x = 34,904,249,098.18
  5. Step 5: Solve for x
    x = 34,904,249,098.18/272,398.42
  6. Step 6: Final answer
    x = 128,136.75

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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.