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Finding the Fourth Proportional to 172,395.60, 258,593.40 and 83,822.10

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Solution

The fourth proportional to 172,395.60, 258,593.40 and 83,822.10 is: 125,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,395.60 : 258,593.40 = 83,822.10 : x
  2. Step 2: Convert to fraction form
    172,395.60/258,593.40 = 83,822.10/x
  3. Step 3: Cross multiply
    172,395.60x = 258,593.40 × 83,822.10
  4. Step 4: Simplify right side
    172,395.60x = 21,675,841,834.14
  5. Step 5: Solve for x
    x = 21,675,841,834.14/172,395.60
  6. Step 6: Final answer
    x = 125,733.15

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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.