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Finding the Fourth Proportional to 157,219.47, 235,719.81 and 97,241.04

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Solution

The fourth proportional to 157,219.47, 235,719.81 and 97,241.04 is: 145,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,219.47 : 235,719.81 = 97,241.04 : x
  2. Step 2: Convert to fraction form
    157,219.47/235,719.81 = 97,241.04/x
  3. Step 3: Cross multiply
    157,219.47x = 235,719.81 × 97,241.04
  4. Step 4: Simplify right side
    157,219.47x = 22,921,639,473.00
  5. Step 5: Solve for x
    x = 22,921,639,473.00/157,219.47
  6. Step 6: Final answer
    x = 145,793.90

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Why These Related Problems?

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