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Finding the Fourth Proportional to 149,194.80, 224,051.40 and 144,529.20

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Solution

The fourth proportional to 149,194.80, 224,051.40 and 144,529.20 is: 217,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,194.80 : 224,051.40 = 144,529.20 : x
  2. Step 2: Convert to fraction form
    149,194.80/224,051.40 = 144,529.20/x
  3. Step 3: Cross multiply
    149,194.80x = 224,051.40 × 144,529.20
  4. Step 4: Simplify right side
    149,194.80x = 32,381,969,600.88
  5. Step 5: Solve for x
    x = 32,381,969,600.88/149,194.80
  6. Step 6: Final answer
    x = 217,044.89

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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.