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Finding the Fourth Proportional to 261,272.49, 391,859.46 and 101,348.10

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Solution

The fourth proportional to 261,272.49, 391,859.46 and 101,348.10 is: 152,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,272.49 : 391,859.46 = 101,348.10 : x
  2. Step 2: Convert to fraction form
    261,272.49/391,859.46 = 101,348.10/x
  3. Step 3: Cross multiply
    261,272.49x = 391,859.46 × 101,348.10
  4. Step 4: Simplify right side
    261,272.49x = 39,714,211,738.03
  5. Step 5: Solve for x
    x = 39,714,211,738.03/261,272.49
  6. Step 6: Final answer
    x = 152,003.04

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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.