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Finding the Fourth Proportional to 207,565.64, 286,424.34 and 116,917.64

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Solution

The fourth proportional to 207,565.64, 286,424.34 and 116,917.64 is: 161,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,565.64 : 286,424.34 = 116,917.64 : x
  2. Step 2: Convert to fraction form
    207,565.64/286,424.34 = 116,917.64/x
  3. Step 3: Cross multiply
    207,565.64x = 286,424.34 × 116,917.64
  4. Step 4: Simplify right side
    207,565.64x = 33,488,057,871.36
  5. Step 5: Solve for x
    x = 33,488,057,871.36/207,565.64
  6. Step 6: Final answer
    x = 161,337.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.