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Finding the Fourth Proportional to 105,917.22, 146,149.92 and 60,588

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Solution

The fourth proportional to 105,917.22, 146,149.92 and 60,588 is: 83,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,917.22 : 146,149.92 = 60,588 : x
  2. Step 2: Convert to fraction form
    105,917.22/146,149.92 = 60,588/x
  3. Step 3: Cross multiply
    105,917.22x = 146,149.92 × 60,588
  4. Step 4: Simplify right side
    105,917.22x = 8,854,931,352.96
  5. Step 5: Solve for x
    x = 8,854,931,352.96/105,917.22
  6. Step 6: Final answer
    x = 83,602.38

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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.