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Finding the Fourth Proportional to 147,071.40, 220,614.30 and 77,087.40

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Solution

The fourth proportional to 147,071.40, 220,614.30 and 77,087.40 is: 115,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,071.40 : 220,614.30 = 77,087.40 : x
  2. Step 2: Convert to fraction form
    147,071.40/220,614.30 = 77,087.40/x
  3. Step 3: Cross multiply
    147,071.40x = 220,614.30 × 77,087.40
  4. Step 4: Simplify right side
    147,071.40x = 17,006,582,789.82
  5. Step 5: Solve for x
    x = 17,006,582,789.82/147,071.40
  6. Step 6: Final answer
    x = 115,634.87

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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.