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Finding the Fourth Proportional to 137,433.70, 206,150.55 and 117,750.70

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Solution

The fourth proportional to 137,433.70, 206,150.55 and 117,750.70 is: 176,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433.70 : 206,150.55 = 117,750.70 : x
  2. Step 2: Convert to fraction form
    137,433.70/206,150.55 = 117,750.70/x
  3. Step 3: Cross multiply
    137,433.70x = 206,150.55 × 117,750.70
  4. Step 4: Simplify right side
    137,433.70x = 24,274,371,567.89
  5. Step 5: Solve for x
    x = 24,274,371,567.89/137,433.70
  6. Step 6: Final answer
    x = 176,626.05

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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.