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Finding the Fourth Proportional to 207,620.52, 286,505.72 and 116,981.84

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Solution

The fourth proportional to 207,620.52, 286,505.72 and 116,981.84 is: 161,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,620.52 : 286,505.72 = 116,981.84 : x
  2. Step 2: Convert to fraction form
    207,620.52/286,505.72 = 116,981.84/x
  3. Step 3: Cross multiply
    207,620.52x = 286,505.72 × 116,981.84
  4. Step 4: Simplify right side
    207,620.52x = 33,515,966,296.12
  5. Step 5: Solve for x
    x = 33,515,966,296.12/207,620.52
  6. Step 6: Final answer
    x = 161,428.97

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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.