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Finding the Fourth Proportional to 207,656.38, 286,522.95 and 132,177.34

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Solution

The fourth proportional to 207,656.38, 286,522.95 and 132,177.34 is: 182,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,656.38 : 286,522.95 = 132,177.34 : x
  2. Step 2: Convert to fraction form
    207,656.38/286,522.95 = 132,177.34/x
  3. Step 3: Cross multiply
    207,656.38x = 286,522.95 × 132,177.34
  4. Step 4: Simplify right side
    207,656.38x = 37,871,841,379.95
  5. Step 5: Solve for x
    x = 37,871,841,379.95/207,656.38
  6. Step 6: Final answer
    x = 182,377.45

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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.