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Finding the Fourth Proportional to 207,502.60, 286,349.82 and 116,858.20

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Solution

The fourth proportional to 207,502.60, 286,349.82 and 116,858.20 is: 161,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,502.60 : 286,349.82 = 116,858.20 : x
  2. Step 2: Convert to fraction form
    207,502.60/286,349.82 = 116,858.20/x
  3. Step 3: Cross multiply
    207,502.60x = 286,349.82 × 116,858.20
  4. Step 4: Simplify right side
    207,502.60x = 33,462,324,535.52
  5. Step 5: Solve for x
    x = 33,462,324,535.52/207,502.60
  6. Step 6: Final answer
    x = 161,262.19

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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.