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Finding the Fourth Proportional to 257,302.91, 385,748.17 and 122,299.22

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Solution

The fourth proportional to 257,302.91, 385,748.17 and 122,299.22 is: 183,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,302.91 : 385,748.17 = 122,299.22 : x
  2. Step 2: Convert to fraction form
    257,302.91/385,748.17 = 122,299.22/x
  3. Step 3: Cross multiply
    257,302.91x = 385,748.17 × 122,299.22
  4. Step 4: Simplify right side
    257,302.91x = 47,176,700,307.43
  5. Step 5: Solve for x
    x = 47,176,700,307.43/257,302.91
  6. Step 6: Final answer
    x = 183,350.82

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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.