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Finding the Fourth Proportional to 259,282.50, 357,809.85 and 146,109.30

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Solution

The fourth proportional to 259,282.50, 357,809.85 and 146,109.30 is: 201,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,282.50 : 357,809.85 = 146,109.30 : x
  2. Step 2: Convert to fraction form
    259,282.50/357,809.85 = 146,109.30/x
  3. Step 3: Cross multiply
    259,282.50x = 357,809.85 × 146,109.30
  4. Step 4: Simplify right side
    259,282.50x = 52,279,346,716.61
  5. Step 5: Solve for x
    x = 52,279,346,716.61/259,282.50
  6. Step 6: Final answer
    x = 201,630.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.