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Finding the Fourth Proportional to 137,411.44, 207,053.15 and 112,998.31

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Solution

The fourth proportional to 137,411.44, 207,053.15 and 112,998.31 is: 170,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411.44 : 207,053.15 = 112,998.31 : x
  2. Step 2: Convert to fraction form
    137,411.44/207,053.15 = 112,998.31/x
  3. Step 3: Cross multiply
    137,411.44x = 207,053.15 × 112,998.31
  4. Step 4: Simplify right side
    137,411.44x = 23,396,654,947.55
  5. Step 5: Solve for x
    x = 23,396,654,947.55/137,411.44
  6. Step 6: Final answer
    x = 170,267.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.