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Finding the Fourth Proportional to 242,663.72, 363,747.71 and 84,762.32

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Solution

The fourth proportional to 242,663.72, 363,747.71 and 84,762.32 is: 127,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,663.72 : 363,747.71 = 84,762.32 : x
  2. Step 2: Convert to fraction form
    242,663.72/363,747.71 = 84,762.32/x
  3. Step 3: Cross multiply
    242,663.72x = 363,747.71 × 84,762.32
  4. Step 4: Simplify right side
    242,663.72x = 30,832,098,187.45
  5. Step 5: Solve for x
    x = 30,832,098,187.45/242,663.72
  6. Step 6: Final answer
    x = 127,056.90

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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.