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Finding the Fourth Proportional to 259,627.20, 389,152.80 and 101,803.20

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Solution

The fourth proportional to 259,627.20, 389,152.80 and 101,803.20 is: 152,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,627.20 : 389,152.80 = 101,803.20 : x
  2. Step 2: Convert to fraction form
    259,627.20/389,152.80 = 101,803.20/x
  3. Step 3: Cross multiply
    259,627.20x = 389,152.80 × 101,803.20
  4. Step 4: Simplify right side
    259,627.20x = 39,617,000,328.96
  5. Step 5: Solve for x
    x = 39,617,000,328.96/259,627.20
  6. Step 6: Final answer
    x = 152,591.87

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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.