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Finding the Fourth Proportional to 102,488.52, 141,434.12 and 57,776.52

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Solution

The fourth proportional to 102,488.52, 141,434.12 and 57,776.52 is: 79,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,488.52 : 141,434.12 = 57,776.52 : x
  2. Step 2: Convert to fraction form
    102,488.52/141,434.12 = 57,776.52/x
  3. Step 3: Cross multiply
    102,488.52x = 141,434.12 × 57,776.52
  4. Step 4: Simplify right side
    102,488.52x = 8,171,571,262.86
  5. Step 5: Solve for x
    x = 8,171,571,262.86/102,488.52
  6. Step 6: Final answer
    x = 79,731.58

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