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Finding the Fourth Proportional to 101,750.68, 140,416.32 and 56,432.86

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Solution

The fourth proportional to 101,750.68, 140,416.32 and 56,432.86 is: 77,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,750.68 : 140,416.32 = 56,432.86 : x
  2. Step 2: Convert to fraction form
    101,750.68/140,416.32 = 56,432.86/x
  3. Step 3: Cross multiply
    101,750.68x = 140,416.32 × 56,432.86
  4. Step 4: Simplify right side
    101,750.68x = 7,924,094,528.28
  5. Step 5: Solve for x
    x = 7,924,094,528.28/101,750.68
  6. Step 6: Final answer
    x = 77,877.56

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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.