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Finding the Fourth Proportional to 102,497.59, 141,447.45 and 57,178.54

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Solution

The fourth proportional to 102,497.59, 141,447.45 and 57,178.54 is: 78,906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,497.59 : 141,447.45 = 57,178.54 : x
  2. Step 2: Convert to fraction form
    102,497.59/141,447.45 = 57,178.54/x
  3. Step 3: Cross multiply
    102,497.59x = 141,447.45 × 57,178.54
  4. Step 4: Simplify right side
    102,497.59x = 8,087,758,677.72
  5. Step 5: Solve for x
    x = 8,087,758,677.72/102,497.59
  6. Step 6: Final answer
    x = 78,906.82

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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.