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Finding the Fourth Proportional to 207,591.60, 286,477.29 and 116,948.65

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Solution

The fourth proportional to 207,591.60, 286,477.29 and 116,948.65 is: 161,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,591.60 : 286,477.29 = 116,948.65 : x
  2. Step 2: Convert to fraction form
    207,591.60/286,477.29 = 116,948.65/x
  3. Step 3: Cross multiply
    207,591.60x = 286,477.29 × 116,948.65
  4. Step 4: Simplify right side
    207,591.60x = 33,503,132,321.16
  5. Step 5: Solve for x
    x = 33,503,132,321.16/207,591.60
  6. Step 6: Final answer
    x = 161,389.63

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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.