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Finding the Fourth Proportional to 207,378.52, 286,182.78 and 117,954.52

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Solution

The fourth proportional to 207,378.52, 286,182.78 and 117,954.52 is: 162,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,378.52 : 286,182.78 = 117,954.52 : x
  2. Step 2: Convert to fraction form
    207,378.52/286,182.78 = 117,954.52/x
  3. Step 3: Cross multiply
    207,378.52x = 286,182.78 × 117,954.52
  4. Step 4: Simplify right side
    207,378.52x = 33,756,552,447.17
  5. Step 5: Solve for x
    x = 33,756,552,447.17/207,378.52
  6. Step 6: Final answer
    x = 162,777.48

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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.