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Finding the Fourth Proportional to 150,462.75, 207,638.60 and 83,394.75

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Solution

The fourth proportional to 150,462.75, 207,638.60 and 83,394.75 is: 115,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,462.75 : 207,638.60 = 83,394.75 : x
  2. Step 2: Convert to fraction form
    150,462.75/207,638.60 = 83,394.75/x
  3. Step 3: Cross multiply
    150,462.75x = 207,638.60 × 83,394.75
  4. Step 4: Simplify right side
    150,462.75x = 17,315,968,720.38
  5. Step 5: Solve for x
    x = 17,315,968,720.38/150,462.75
  6. Step 6: Final answer
    x = 115,084.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.