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Finding the Fourth Proportional to 102,447.39, 141,293.84 and 86,031.21

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Solution

The fourth proportional to 102,447.39, 141,293.84 and 86,031.21 is: 118,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,447.39 : 141,293.84 = 86,031.21 : x
  2. Step 2: Convert to fraction form
    102,447.39/141,293.84 = 86,031.21/x
  3. Step 3: Cross multiply
    102,447.39x = 141,293.84 × 86,031.21
  4. Step 4: Simplify right side
    102,447.39x = 12,155,679,590.59
  5. Step 5: Solve for x
    x = 12,155,679,590.59/102,447.39
  6. Step 6: Final answer
    x = 118,652.90

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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.