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Finding the Fourth Proportional to 207,506.16, 286,274.52 and 132,040.56

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Solution

The fourth proportional to 207,506.16, 286,274.52 and 132,040.56 is: 182,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,506.16 : 286,274.52 = 132,040.56 : x
  2. Step 2: Convert to fraction form
    207,506.16/286,274.52 = 132,040.56/x
  3. Step 3: Cross multiply
    207,506.16x = 286,274.52 × 132,040.56
  4. Step 4: Simplify right side
    207,506.16x = 37,799,847,934.53
  5. Step 5: Solve for x
    x = 37,799,847,934.53/207,506.16
  6. Step 6: Final answer
    x = 182,162.53

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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.