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Finding the Fourth Proportional to 102,667.50, 141,684.19 and 57,347.39

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Solution

The fourth proportional to 102,667.50, 141,684.19 and 57,347.39 is: 79,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,667.50 : 141,684.19 = 57,347.39 : x
  2. Step 2: Convert to fraction form
    102,667.50/141,684.19 = 57,347.39/x
  3. Step 3: Cross multiply
    102,667.50x = 141,684.19 × 57,347.39
  4. Step 4: Simplify right side
    102,667.50x = 8,125,218,711.61
  5. Step 5: Solve for x
    x = 8,125,218,711.61/102,667.50
  6. Step 6: Final answer
    x = 79,141.10

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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.