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Finding the Fourth Proportional to 146,735.10, 220,102.65 and 137,987.10

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Solution

The fourth proportional to 146,735.10, 220,102.65 and 137,987.10 is: 206,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,735.10 : 220,102.65 = 137,987.10 : x
  2. Step 2: Convert to fraction form
    146,735.10/220,102.65 = 137,987.10/x
  3. Step 3: Cross multiply
    146,735.10x = 220,102.65 × 137,987.10
  4. Step 4: Simplify right side
    146,735.10x = 30,371,326,375.82
  5. Step 5: Solve for x
    x = 30,371,326,375.82/146,735.10
  6. Step 6: Final answer
    x = 206,980.65

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1.5x scale

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.