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Finding the Fourth Proportional to 165,053.50, 247,629.76 and 117,114.46

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Solution

The fourth proportional to 165,053.50, 247,629.76 and 117,114.46 is: 175,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,053.50 : 247,629.76 = 117,114.46 : x
  2. Step 2: Convert to fraction form
    165,053.50/247,629.76 = 117,114.46/x
  3. Step 3: Cross multiply
    165,053.50x = 247,629.76 × 117,114.46
  4. Step 4: Simplify right side
    165,053.50x = 29,001,024,710.47
  5. Step 5: Solve for x
    x = 29,001,024,710.47/165,053.50
  6. Step 6: Final answer
    x = 175,706.82

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