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Finding the Fourth Proportional to 137,451.20, 206,176.80 and 102,459.20

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Solution

The fourth proportional to 137,451.20, 206,176.80 and 102,459.20 is: 153,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,451.20 : 206,176.80 = 102,459.20 : x
  2. Step 2: Convert to fraction form
    137,451.20/206,176.80 = 102,459.20/x
  3. Step 3: Cross multiply
    137,451.20x = 206,176.80 × 102,459.20
  4. Step 4: Simplify right side
    137,451.20x = 21,124,709,986.56
  5. Step 5: Solve for x
    x = 21,124,709,986.56/137,451.20
  6. Step 6: Final answer
    x = 153,688.80

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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.