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Finding the Fourth Proportional to 207,484.79, 286,305.17 and 116,838.50

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Solution

The fourth proportional to 207,484.79, 286,305.17 and 116,838.50 is: 161,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,484.79 : 286,305.17 = 116,838.50 : x
  2. Step 2: Convert to fraction form
    207,484.79/286,305.17 = 116,838.50/x
  3. Step 3: Cross multiply
    207,484.79x = 286,305.17 × 116,838.50
  4. Step 4: Simplify right side
    207,484.79x = 33,451,464,589.33
  5. Step 5: Solve for x
    x = 33,451,464,589.33/207,484.79
  6. Step 6: Final answer
    x = 161,223.70

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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.