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Finding the Fourth Proportional to 105,360.80, 145,397.92 and 57,614.24

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Solution

The fourth proportional to 105,360.80, 145,397.92 and 57,614.24 is: 79,507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,360.80 : 145,397.92 = 57,614.24 : x
  2. Step 2: Convert to fraction form
    105,360.80/145,397.92 = 57,614.24/x
  3. Step 3: Cross multiply
    105,360.80x = 145,397.92 × 57,614.24
  4. Step 4: Simplify right side
    105,360.80x = 8,376,990,658.38
  5. Step 5: Solve for x
    x = 8,376,990,658.38/105,360.80
  6. Step 6: Final answer
    x = 79,507.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.