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Finding the Fourth Proportional to 119,425.64, 164,807.19 and 71,679.20

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Solution

The fourth proportional to 119,425.64, 164,807.19 and 71,679.20 is: 98,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,425.64 : 164,807.19 = 71,679.20 : x
  2. Step 2: Convert to fraction form
    119,425.64/164,807.19 = 71,679.20/x
  3. Step 3: Cross multiply
    119,425.64x = 164,807.19 × 71,679.20
  4. Step 4: Simplify right side
    119,425.64x = 11,813,246,709.41
  5. Step 5: Solve for x
    x = 11,813,246,709.41/119,425.64
  6. Step 6: Final answer
    x = 98,917.18

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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.