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Finding the Fourth Proportional to 172,830.60, 259,829.10 and 147,169.80

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Solution

The fourth proportional to 172,830.60, 259,829.10 and 147,169.80 is: 221,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,830.60 : 259,829.10 = 147,169.80 : x
  2. Step 2: Convert to fraction form
    172,830.60/259,829.10 = 147,169.80/x
  3. Step 3: Cross multiply
    172,830.60x = 259,829.10 × 147,169.80
  4. Step 4: Simplify right side
    172,830.60x = 38,238,996,681.18
  5. Step 5: Solve for x
    x = 38,238,996,681.18/172,830.60
  6. Step 6: Final answer
    x = 221,251.31

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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.