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Finding the Fourth Proportional to 242,642.96, 364,168.92 and 102,502.16

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Solution

The fourth proportional to 242,642.96, 364,168.92 and 102,502.16 is: 153,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,642.96 : 364,168.92 = 102,502.16 : x
  2. Step 2: Convert to fraction form
    242,642.96/364,168.92 = 102,502.16/x
  3. Step 3: Cross multiply
    242,642.96x = 364,168.92 × 102,502.16
  4. Step 4: Simplify right side
    242,642.96x = 37,328,100,904.87
  5. Step 5: Solve for x
    x = 37,328,100,904.87/242,642.96
  6. Step 6: Final answer
    x = 153,839.62

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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.