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Finding the Fourth Proportional to 282,799, 424,198.59 and 83,119.42

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Solution

The fourth proportional to 282,799, 424,198.59 and 83,119.42 is: 124,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,799 : 424,198.59 = 83,119.42 : x
  2. Step 2: Convert to fraction form
    282,799/424,198.59 = 83,119.42/x
  3. Step 3: Cross multiply
    282,799x = 424,198.59 × 83,119.42
  4. Step 4: Simplify right side
    282,799x = 35,259,140,765.62
  5. Step 5: Solve for x
    x = 35,259,140,765.62/282,799
  6. Step 6: Final answer
    x = 124,679.16

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1.5x scale

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.