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Finding the Fourth Proportional to 207,507.16, 286,275.90 and 132,041.56

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Solution

The fourth proportional to 207,507.16, 286,275.90 and 132,041.56 is: 182,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,507.16 : 286,275.90 = 132,041.56 : x
  2. Step 2: Convert to fraction form
    207,507.16/286,275.90 = 132,041.56/x
  3. Step 3: Cross multiply
    207,507.16x = 286,275.90 × 132,041.56
  4. Step 4: Simplify right side
    207,507.16x = 37,800,316,426.40
  5. Step 5: Solve for x
    x = 37,800,316,426.40/207,507.16
  6. Step 6: Final answer
    x = 182,163.91

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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.