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Finding the Fourth Proportional to 362,142.90, 543,117.15 and 151,737.30

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Solution

The fourth proportional to 362,142.90, 543,117.15 and 151,737.30 is: 227,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,142.90 : 543,117.15 = 151,737.30 : x
  2. Step 2: Convert to fraction form
    362,142.90/543,117.15 = 151,737.30/x
  3. Step 3: Cross multiply
    362,142.90x = 543,117.15 × 151,737.30
  4. Step 4: Simplify right side
    362,142.90x = 82,411,129,924.70
  5. Step 5: Solve for x
    x = 82,411,129,924.70/362,142.90
  6. Step 6: Final answer
    x = 227,565.22

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Why These Related Problems?

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