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Finding the Fourth Proportional to 106,562.88, 147,057.84 and 58,815.18

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Solution

The fourth proportional to 106,562.88, 147,057.84 and 58,815.18 is: 81,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.88 : 147,057.84 = 58,815.18 : x
  2. Step 2: Convert to fraction form
    106,562.88/147,057.84 = 58,815.18/x
  3. Step 3: Cross multiply
    106,562.88x = 147,057.84 × 58,815.18
  4. Step 4: Simplify right side
    106,562.88x = 8,649,233,330.01
  5. Step 5: Solve for x
    x = 8,649,233,330.01/106,562.88
  6. Step 6: Final answer
    x = 81,165.54

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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.