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Finding the Fourth Proportional to 102,906.32, 141,965.64 and 60,445.71

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Solution

The fourth proportional to 102,906.32, 141,965.64 and 60,445.71 is: 83,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.32 : 141,965.64 = 60,445.71 : x
  2. Step 2: Convert to fraction form
    102,906.32/141,965.64 = 60,445.71/x
  3. Step 3: Cross multiply
    102,906.32x = 141,965.64 × 60,445.71
  4. Step 4: Simplify right side
    102,906.32x = 8,581,213,905.40
  5. Step 5: Solve for x
    x = 8,581,213,905.40/102,906.32
  6. Step 6: Final answer
    x = 83,388.60

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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.