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Finding the Fourth Proportional to 105,639.72, 145,781.64 and 57,240.72

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Solution

The fourth proportional to 105,639.72, 145,781.64 and 57,240.72 is: 78,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,639.72 : 145,781.64 = 57,240.72 : x
  2. Step 2: Convert to fraction form
    105,639.72/145,781.64 = 57,240.72/x
  3. Step 3: Cross multiply
    105,639.72x = 145,781.64 × 57,240.72
  4. Step 4: Simplify right side
    105,639.72x = 8,344,646,036.38
  5. Step 5: Solve for x
    x = 8,344,646,036.38/105,639.72
  6. Step 6: Final answer
    x = 78,991.56

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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.