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Finding the Fourth Proportional to 105,512.92, 145,602.30 and 57,757.12

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Solution

The fourth proportional to 105,512.92, 145,602.30 and 57,757.12 is: 79,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,512.92 : 145,602.30 = 57,757.12 : x
  2. Step 2: Convert to fraction form
    105,512.92/145,602.30 = 57,757.12/x
  3. Step 3: Cross multiply
    105,512.92x = 145,602.30 × 57,757.12
  4. Step 4: Simplify right side
    105,512.92x = 8,409,569,513.38
  5. Step 5: Solve for x
    x = 8,409,569,513.38/105,512.92
  6. Step 6: Final answer
    x = 79,701.80

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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.