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Finding the Fourth Proportional to 150,597.47, 207,827.28 and 82,617.92

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Solution

The fourth proportional to 150,597.47, 207,827.28 and 82,617.92 is: 114,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,597.47 : 207,827.28 = 82,617.92 : x
  2. Step 2: Convert to fraction form
    150,597.47/207,827.28 = 82,617.92/x
  3. Step 3: Cross multiply
    150,597.47x = 207,827.28 × 82,617.92
  4. Step 4: Simplify right side
    150,597.47x = 17,170,257,179.77
  5. Step 5: Solve for x
    x = 17,170,257,179.77/150,597.47
  6. Step 6: Final answer
    x = 114,014.25

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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.