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Finding the Fourth Proportional to 151,574.61, 209,170.20 and 83,597.87

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Solution

The fourth proportional to 151,574.61, 209,170.20 and 83,597.87 is: 115,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,574.61 : 209,170.20 = 83,597.87 : x
  2. Step 2: Convert to fraction form
    151,574.61/209,170.20 = 83,597.87/x
  3. Step 3: Cross multiply
    151,574.61x = 209,170.20 × 83,597.87
  4. Step 4: Simplify right side
    151,574.61x = 17,486,183,553.65
  5. Step 5: Solve for x
    x = 17,486,183,553.65/151,574.61
  6. Step 6: Final answer
    x = 115,363.54

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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.