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Finding the Fourth Proportional to 106,535.23, 147,019.05 and 58,789.96

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Solution

The fourth proportional to 106,535.23, 147,019.05 and 58,789.96 is: 81,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,535.23 : 147,019.05 = 58,789.96 : x
  2. Step 2: Convert to fraction form
    106,535.23/147,019.05 = 58,789.96/x
  3. Step 3: Cross multiply
    106,535.23x = 147,019.05 × 58,789.96
  4. Step 4: Simplify right side
    106,535.23x = 8,643,244,068.74
  5. Step 5: Solve for x
    x = 8,643,244,068.74/106,535.23
  6. Step 6: Final answer
    x = 81,130.38

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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.