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Finding the Fourth Proportional to 103,000.20, 144,615 and 103,000.20

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Solution

The fourth proportional to 103,000.20, 144,615 and 103,000.20 is: 144,615

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,000.20 : 144,615 = 103,000.20 : x
  2. Step 2: Convert to fraction form
    103,000.20/144,615 = 103,000.20/x
  3. Step 3: Cross multiply
    103,000.20x = 144,615 × 103,000.20
  4. Step 4: Simplify right side
    103,000.20x = 14,895,373,923
  5. Step 5: Solve for x
    x = 14,895,373,923/103,000.20
  6. Step 6: Final answer
    x = 144,615

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.