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Finding the Fourth Proportional to 149,430.30, 224,404.65 and 144,764.70

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Solution

The fourth proportional to 149,430.30, 224,404.65 and 144,764.70 is: 217,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,430.30 : 224,404.65 = 144,764.70 : x
  2. Step 2: Convert to fraction form
    149,430.30/224,404.65 = 144,764.70/x
  3. Step 3: Cross multiply
    149,430.30x = 224,404.65 × 144,764.70
  4. Step 4: Simplify right side
    149,430.30x = 32,485,871,835.86
  5. Step 5: Solve for x
    x = 32,485,871,835.86/149,430.30
  6. Step 6: Final answer
    x = 217,398.16

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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.