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Finding the Fourth Proportional to 194,325.91, 291,423.76 and 74,354.95

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Solution

The fourth proportional to 194,325.91, 291,423.76 and 74,354.95 is: 111,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,325.91 : 291,423.76 = 74,354.95 : x
  2. Step 2: Convert to fraction form
    194,325.91/291,423.76 = 74,354.95/x
  3. Step 3: Cross multiply
    194,325.91x = 291,423.76 × 74,354.95
  4. Step 4: Simplify right side
    194,325.91x = 21,668,799,103.61
  5. Step 5: Solve for x
    x = 21,668,799,103.61/194,325.91
  6. Step 6: Final answer
    x = 111,507.51

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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.