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Finding the Fourth Proportional to 160,082.40, 239,807.70 and 81,253.20

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Solution

The fourth proportional to 160,082.40, 239,807.70 and 81,253.20 is: 121,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,082.40 : 239,807.70 = 81,253.20 : x
  2. Step 2: Convert to fraction form
    160,082.40/239,807.70 = 81,253.20/x
  3. Step 3: Cross multiply
    160,082.40x = 239,807.70 × 81,253.20
  4. Step 4: Simplify right side
    160,082.40x = 19,485,143,009.64
  5. Step 5: Solve for x
    x = 19,485,143,009.64/160,082.40
  6. Step 6: Final answer
    x = 121,719.46

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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.