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Finding the Fourth Proportional to 260,429.68, 359,400.54 and 147,250

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Solution

The fourth proportional to 260,429.68, 359,400.54 and 147,250 is: 203,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,429.68 : 359,400.54 = 147,250 : x
  2. Step 2: Convert to fraction form
    260,429.68/359,400.54 = 147,250/x
  3. Step 3: Cross multiply
    260,429.68x = 359,400.54 × 147,250
  4. Step 4: Simplify right side
    260,429.68x = 52,921,729,515
  5. Step 5: Solve for x
    x = 52,921,729,515/260,429.68
  6. Step 6: Final answer
    x = 203,209.29

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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.