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Finding the Fourth Proportional to 150,382.96, 207,434.64 and 96,737.92

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Solution

The fourth proportional to 150,382.96, 207,434.64 and 96,737.92 is: 133,437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,382.96 : 207,434.64 = 96,737.92 : x
  2. Step 2: Convert to fraction form
    150,382.96/207,434.64 = 96,737.92/x
  3. Step 3: Cross multiply
    150,382.96x = 207,434.64 × 96,737.92
  4. Step 4: Simplify right side
    150,382.96x = 20,066,795,609.55
  5. Step 5: Solve for x
    x = 20,066,795,609.55/150,382.96
  6. Step 6: Final answer
    x = 133,437.96

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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.