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Finding the Fourth Proportional to 149,951.40, 224,927.10 and 147,359.40

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Solution

The fourth proportional to 149,951.40, 224,927.10 and 147,359.40 is: 221,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,951.40 : 224,927.10 = 147,359.40 : x
  2. Step 2: Convert to fraction form
    149,951.40/224,927.10 = 147,359.40/x
  3. Step 3: Cross multiply
    149,951.40x = 224,927.10 × 147,359.40
  4. Step 4: Simplify right side
    149,951.40x = 33,145,122,499.74
  5. Step 5: Solve for x
    x = 33,145,122,499.74/149,951.40
  6. Step 6: Final answer
    x = 221,039.10

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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.