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Finding the Fourth Proportional to 150,193.61, 207,253.01 and 89,752.22

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Solution

The fourth proportional to 150,193.61, 207,253.01 and 89,752.22 is: 123,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,193.61 : 207,253.01 = 89,752.22 : x
  2. Step 2: Convert to fraction form
    150,193.61/207,253.01 = 89,752.22/x
  3. Step 3: Cross multiply
    150,193.61x = 207,253.01 × 89,752.22
  4. Step 4: Simplify right side
    150,193.61x = 18,601,417,300.42
  5. Step 5: Solve for x
    x = 18,601,417,300.42/150,193.61
  6. Step 6: Final answer
    x = 123,849.59

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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.