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Finding the Fourth Proportional to 150,210.75, 207,294.09 and 83,142.75

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Solution

The fourth proportional to 150,210.75, 207,294.09 and 83,142.75 is: 114,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,210.75 : 207,294.09 = 83,142.75 : x
  2. Step 2: Convert to fraction form
    150,210.75/207,294.09 = 83,142.75/x
  3. Step 3: Cross multiply
    150,210.75x = 207,294.09 × 83,142.75
  4. Step 4: Simplify right side
    150,210.75x = 17,235,000,701.35
  5. Step 5: Solve for x
    x = 17,235,000,701.35/150,210.75
  6. Step 6: Final answer
    x = 114,738.80

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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.