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Finding the Fourth Proportional to 150,518, 207,727.80 and 83,462.96

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Solution

The fourth proportional to 150,518, 207,727.80 and 83,462.96 is: 115,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,518 : 207,727.80 = 83,462.96 : x
  2. Step 2: Convert to fraction form
    150,518/207,727.80 = 83,462.96/x
  3. Step 3: Cross multiply
    150,518x = 207,727.80 × 83,462.96
  4. Step 4: Simplify right side
    150,518x = 17,337,577,062.29
  5. Step 5: Solve for x
    x = 17,337,577,062.29/150,518
  6. Step 6: Final answer
    x = 115,186.07

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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.