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Finding the Fourth Proportional to 106,735.66, 160,129.77 and 75,207.30

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Solution

The fourth proportional to 106,735.66, 160,129.77 and 75,207.30 is: 112,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,735.66 : 160,129.77 = 75,207.30 : x
  2. Step 2: Convert to fraction form
    106,735.66/160,129.77 = 75,207.30/x
  3. Step 3: Cross multiply
    106,735.66x = 160,129.77 × 75,207.30
  4. Step 4: Simplify right side
    106,735.66x = 12,042,927,275.28
  5. Step 5: Solve for x
    x = 12,042,927,275.28/106,735.66
  6. Step 6: Final answer
    x = 112,829.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.