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Finding the Fourth Proportional to 207,315.64, 286,092.12 and 116,671.60

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Solution

The fourth proportional to 207,315.64, 286,092.12 and 116,671.60 is: 161,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,315.64 : 286,092.12 = 116,671.60 : x
  2. Step 2: Convert to fraction form
    207,315.64/286,092.12 = 116,671.60/x
  3. Step 3: Cross multiply
    207,315.64x = 286,092.12 × 116,671.60
  4. Step 4: Simplify right side
    207,315.64x = 33,378,825,387.79
  5. Step 5: Solve for x
    x = 33,378,825,387.79/207,315.64
  6. Step 6: Final answer
    x = 161,004.86

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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.