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Finding the Fourth Proportional to 150,232.93, 207,323.90 and 82,248.77

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Solution

The fourth proportional to 150,232.93, 207,323.90 and 82,248.77 is: 113,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,232.93 : 207,323.90 = 82,248.77 : x
  2. Step 2: Convert to fraction form
    150,232.93/207,323.90 = 82,248.77/x
  3. Step 3: Cross multiply
    150,232.93x = 207,323.90 × 82,248.77
  4. Step 4: Simplify right side
    150,232.93x = 17,052,134,318.74
  5. Step 5: Solve for x
    x = 17,052,134,318.74/150,232.93
  6. Step 6: Final answer
    x = 113,504.64

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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.