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Finding the Fourth Proportional to 137,732.67, 206,197.70 and 102,350.84

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Solution

The fourth proportional to 137,732.67, 206,197.70 and 102,350.84 is: 153,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,732.67 : 206,197.70 = 102,350.84 : x
  2. Step 2: Convert to fraction form
    137,732.67/206,197.70 = 102,350.84/x
  3. Step 3: Cross multiply
    137,732.67x = 206,197.70 × 102,350.84
  4. Step 4: Simplify right side
    137,732.67x = 21,104,506,258.33
  5. Step 5: Solve for x
    x = 21,104,506,258.33/137,732.67
  6. Step 6: Final answer
    x = 153,228.03

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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.