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Finding the Fourth Proportional to 119,544.72, 164,972.19 and 71,798.88

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Solution

The fourth proportional to 119,544.72, 164,972.19 and 71,798.88 is: 99,082.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,544.72 : 164,972.19 = 71,798.88 : x
  2. Step 2: Convert to fraction form
    119,544.72/164,972.19 = 71,798.88/x
  3. Step 3: Cross multiply
    119,544.72x = 164,972.19 × 71,798.88
  4. Step 4: Simplify right side
    119,544.72x = 11,844,818,473.15
  5. Step 5: Solve for x
    x = 11,844,818,473.15/119,544.72
  6. Step 6: Final answer
    x = 99,082.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.