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Finding the Fourth Proportional to 150,200.86, 207,263.01 and 89,759.47

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Solution

The fourth proportional to 150,200.86, 207,263.01 and 89,759.47 is: 123,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,200.86 : 207,263.01 = 89,759.47 : x
  2. Step 2: Convert to fraction form
    150,200.86/207,263.01 = 89,759.47/x
  3. Step 3: Cross multiply
    150,200.86x = 207,263.01 × 89,759.47
  4. Step 4: Simplify right side
    150,200.86x = 18,603,817,928.20
  5. Step 5: Solve for x
    x = 18,603,817,928.20/150,200.86
  6. Step 6: Final answer
    x = 123,859.60

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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.