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Finding the Fourth Proportional to 207,304.96, 286,077.38 and 116,660.82

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Solution

The fourth proportional to 207,304.96, 286,077.38 and 116,660.82 is: 160,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,304.96 : 286,077.38 = 116,660.82 : x
  2. Step 2: Convert to fraction form
    207,304.96/286,077.38 = 116,660.82/x
  3. Step 3: Cross multiply
    207,304.96x = 286,077.38 × 116,660.82
  4. Step 4: Simplify right side
    207,304.96x = 33,374,021,734.25
  5. Step 5: Solve for x
    x = 33,374,021,734.25/207,304.96
  6. Step 6: Final answer
    x = 160,989.98

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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.