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Finding the Fourth Proportional to 172,851.80, 259,569.30 and 113,948.60

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Solution

The fourth proportional to 172,851.80, 259,569.30 and 113,948.60 is: 171,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,851.80 : 259,569.30 = 113,948.60 : x
  2. Step 2: Convert to fraction form
    172,851.80/259,569.30 = 113,948.60/x
  3. Step 3: Cross multiply
    172,851.80x = 259,569.30 × 113,948.60
  4. Step 4: Simplify right side
    172,851.80x = 29,577,558,337.98
  5. Step 5: Solve for x
    x = 29,577,558,337.98/172,851.80
  6. Step 6: Final answer
    x = 171,115.13

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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.