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Finding the Fourth Proportional to 102,701.96, 141,726.98 and 57,380.68

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Solution

The fourth proportional to 102,701.96, 141,726.98 and 57,380.68 is: 79,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,701.96 : 141,726.98 = 57,380.68 : x
  2. Step 2: Convert to fraction form
    102,701.96/141,726.98 = 57,380.68/x
  3. Step 3: Cross multiply
    102,701.96x = 141,726.98 × 57,380.68
  4. Step 4: Simplify right side
    102,701.96x = 8,132,390,486.75
  5. Step 5: Solve for x
    x = 8,132,390,486.75/102,701.96
  6. Step 6: Final answer
    x = 79,184.37

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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.