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Finding the Fourth Proportional to 129,216.96, 193,829.08 and 35,722.70

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Solution

The fourth proportional to 129,216.96, 193,829.08 and 35,722.70 is: 53,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,216.96 : 193,829.08 = 35,722.70 : x
  2. Step 2: Convert to fraction form
    129,216.96/193,829.08 = 35,722.70/x
  3. Step 3: Cross multiply
    129,216.96x = 193,829.08 × 35,722.70
  4. Step 4: Simplify right side
    129,216.96x = 6,924,098,076.12
  5. Step 5: Solve for x
    x = 6,924,098,076.12/129,216.96
  6. Step 6: Final answer
    x = 53,585.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.