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Finding the Fourth Proportional to 172,700.54, 258,675.84 and 83,767.13

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Solution

The fourth proportional to 172,700.54, 258,675.84 and 83,767.13 is: 125,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,700.54 : 258,675.84 = 83,767.13 : x
  2. Step 2: Convert to fraction form
    172,700.54/258,675.84 = 83,767.13/x
  3. Step 3: Cross multiply
    172,700.54x = 258,675.84 × 83,767.13
  4. Step 4: Simplify right side
    172,700.54x = 21,668,531,423.76
  5. Step 5: Solve for x
    x = 21,668,531,423.76/172,700.54
  6. Step 6: Final answer
    x = 125,468.81

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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.