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Finding the Fourth Proportional to 102,866.32, 141,953.96 and 57,545.36

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Solution

The fourth proportional to 102,866.32, 141,953.96 and 57,545.36 is: 79,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,866.32 : 141,953.96 = 57,545.36 : x
  2. Step 2: Convert to fraction form
    102,866.32/141,953.96 = 57,545.36/x
  3. Step 3: Cross multiply
    102,866.32x = 141,953.96 × 57,545.36
  4. Step 4: Simplify right side
    102,866.32x = 8,168,791,731.63
  5. Step 5: Solve for x
    x = 8,168,791,731.63/102,866.32
  6. Step 6: Final answer
    x = 79,411.72

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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.