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Finding the Fourth Proportional to 242,570.52, 363,921.45 and 137,463.30

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Solution

The fourth proportional to 242,570.52, 363,921.45 and 137,463.30 is: 206,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,570.52 : 363,921.45 = 137,463.30 : x
  2. Step 2: Convert to fraction form
    242,570.52/363,921.45 = 137,463.30/x
  3. Step 3: Cross multiply
    242,570.52x = 363,921.45 × 137,463.30
  4. Step 4: Simplify right side
    242,570.52x = 50,025,843,457.79
  5. Step 5: Solve for x
    x = 50,025,843,457.79/242,570.52
  6. Step 6: Final answer
    x = 206,232.16

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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.