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Finding the Fourth Proportional to 149,807.30, 224,711.82 and 49,967.24

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Solution

The fourth proportional to 149,807.30, 224,711.82 and 49,967.24 is: 74,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,807.30 : 224,711.82 = 49,967.24 : x
  2. Step 2: Convert to fraction form
    149,807.30/224,711.82 = 49,967.24/x
  3. Step 3: Cross multiply
    149,807.30x = 224,711.82 × 49,967.24
  4. Step 4: Simplify right side
    149,807.30x = 11,228,228,317.22
  5. Step 5: Solve for x
    x = 11,228,228,317.22/149,807.30
  6. Step 6: Final answer
    x = 74,951.15

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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.