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Finding the Fourth Proportional to 149,670.20, 224,505.30 and 143,765.30

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Solution

The fourth proportional to 149,670.20, 224,505.30 and 143,765.30 is: 215,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,670.20 : 224,505.30 = 143,765.30 : x
  2. Step 2: Convert to fraction form
    149,670.20/224,505.30 = 143,765.30/x
  3. Step 3: Cross multiply
    149,670.20x = 224,505.30 × 143,765.30
  4. Step 4: Simplify right side
    149,670.20x = 32,276,071,806.09
  5. Step 5: Solve for x
    x = 32,276,071,806.09/149,670.20
  6. Step 6: Final answer
    x = 215,647.95

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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.