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Finding the Fourth Proportional to 207,465.88, 286,337.88 and 120,238

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Solution

The fourth proportional to 207,465.88, 286,337.88 and 120,238 is: 165,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,465.88 : 286,337.88 = 120,238 : x
  2. Step 2: Convert to fraction form
    207,465.88/286,337.88 = 120,238/x
  3. Step 3: Cross multiply
    207,465.88x = 286,337.88 × 120,238
  4. Step 4: Simplify right side
    207,465.88x = 34,428,694,015.44
  5. Step 5: Solve for x
    x = 34,428,694,015.44/207,465.88
  6. Step 6: Final answer
    x = 165,948.70

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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.