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Finding the Fourth Proportional to 376,184.53, 564,274.90 and 133,205.86

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Solution

The fourth proportional to 376,184.53, 564,274.90 and 133,205.86 is: 199,808.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,184.53 : 564,274.90 = 133,205.86 : x
  2. Step 2: Convert to fraction form
    376,184.53/564,274.90 = 133,205.86/x
  3. Step 3: Cross multiply
    376,184.53x = 564,274.90 × 133,205.86
  4. Step 4: Simplify right side
    376,184.53x = 75,164,723,330.91
  5. Step 5: Solve for x
    x = 75,164,723,330.91/376,184.53
  6. Step 6: Final answer
    x = 199,808.12

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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.