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Finding the Fourth Proportional to 172,823.80, 258,944.10 and 83,885.80

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Solution

The fourth proportional to 172,823.80, 258,944.10 and 83,885.80 is: 125,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,823.80 : 258,944.10 = 83,885.80 : x
  2. Step 2: Convert to fraction form
    172,823.80/258,944.10 = 83,885.80/x
  3. Step 3: Cross multiply
    172,823.80x = 258,944.10 × 83,885.80
  4. Step 4: Simplify right side
    172,823.80x = 21,721,732,983.78
  5. Step 5: Solve for x
    x = 21,721,732,983.78/172,823.80
  6. Step 6: Final answer
    x = 125,687.16

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1.5x scale

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.