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Finding the Fourth Proportional to 207,591.79, 286,417.40 and 116,916.04

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Solution

The fourth proportional to 207,591.79, 286,417.40 and 116,916.04 is: 161,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,591.79 : 286,417.40 = 116,916.04 : x
  2. Step 2: Convert to fraction form
    207,591.79/286,417.40 = 116,916.04/x
  3. Step 3: Cross multiply
    207,591.79x = 286,417.40 × 116,916.04
  4. Step 4: Simplify right side
    207,591.79x = 33,486,788,195.10
  5. Step 5: Solve for x
    x = 33,486,788,195.10/207,591.79
  6. Step 6: Final answer
    x = 161,310.75

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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.