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Finding the Fourth Proportional to 261,205.60, 391,808.40 and 83,839.90

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Solution

The fourth proportional to 261,205.60, 391,808.40 and 83,839.90 is: 125,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,205.60 : 391,808.40 = 83,839.90 : x
  2. Step 2: Convert to fraction form
    261,205.60/391,808.40 = 83,839.90/x
  3. Step 3: Cross multiply
    261,205.60x = 391,808.40 × 83,839.90
  4. Step 4: Simplify right side
    261,205.60x = 32,849,177,075.16
  5. Step 5: Solve for x
    x = 32,849,177,075.16/261,205.60
  6. Step 6: Final answer
    x = 125,759.85

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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.