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Finding the Fourth Proportional to 137,653.80, 206,480.70 and 85,165.80

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Solution

The fourth proportional to 137,653.80, 206,480.70 and 85,165.80 is: 127,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.80 : 206,480.70 = 85,165.80 : x
  2. Step 2: Convert to fraction form
    137,653.80/206,480.70 = 85,165.80/x
  3. Step 3: Cross multiply
    137,653.80x = 206,480.70 × 85,165.80
  4. Step 4: Simplify right side
    137,653.80x = 17,585,094,000.06
  5. Step 5: Solve for x
    x = 17,585,094,000.06/137,653.80
  6. Step 6: Final answer
    x = 127,748.70

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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.