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Finding the Fourth Proportional to 268,575.53, 402,085.65 and 202,294.85

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Solution

The fourth proportional to 268,575.53, 402,085.65 and 202,294.85 is: 302,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,575.53 : 402,085.65 = 202,294.85 : x
  2. Step 2: Convert to fraction form
    268,575.53/402,085.65 = 202,294.85/x
  3. Step 3: Cross multiply
    268,575.53x = 402,085.65 × 202,294.85
  4. Step 4: Simplify right side
    268,575.53x = 81,339,856,253.90
  5. Step 5: Solve for x
    x = 81,339,856,253.90/268,575.53
  6. Step 6: Final answer
    x = 302,856.54

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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.