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Finding the Fourth Proportional to 106,758.38, 147,320.16 and 59,008.88

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Solution

The fourth proportional to 106,758.38, 147,320.16 and 59,008.88 is: 81,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,758.38 : 147,320.16 = 59,008.88 : x
  2. Step 2: Convert to fraction form
    106,758.38/147,320.16 = 59,008.88/x
  3. Step 3: Cross multiply
    106,758.38x = 147,320.16 × 59,008.88
  4. Step 4: Simplify right side
    106,758.38x = 8,693,197,643.02
  5. Step 5: Solve for x
    x = 8,693,197,643.02/106,758.38
  6. Step 6: Final answer
    x = 81,428.71

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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.