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Finding the Fourth Proportional to 137,415.40, 206,123.10 and 97,757.80

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Solution

The fourth proportional to 137,415.40, 206,123.10 and 97,757.80 is: 146,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.40 : 206,123.10 = 97,757.80 : x
  2. Step 2: Convert to fraction form
    137,415.40/206,123.10 = 97,757.80/x
  3. Step 3: Cross multiply
    137,415.40x = 206,123.10 × 97,757.80
  4. Step 4: Simplify right side
    137,415.40x = 20,150,140,785.18
  5. Step 5: Solve for x
    x = 20,150,140,785.18/137,415.40
  6. Step 6: Final answer
    x = 146,636.70

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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.