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Finding the Fourth Proportional to 106,646.80, 147,171.72 and 58,903.42

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Solution

The fourth proportional to 106,646.80, 147,171.72 and 58,903.42 is: 81,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,646.80 : 147,171.72 = 58,903.42 : x
  2. Step 2: Convert to fraction form
    106,646.80/147,171.72 = 58,903.42/x
  3. Step 3: Cross multiply
    106,646.80x = 147,171.72 × 58,903.42
  4. Step 4: Simplify right side
    106,646.80x = 8,668,917,635.28
  5. Step 5: Solve for x
    x = 8,668,917,635.28/106,646.80
  6. Step 6: Final answer
    x = 81,286.24

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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.