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Finding the Fourth Proportional to 205,097.76, 283,163.04 and 157,259.16

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Solution

The fourth proportional to 205,097.76, 283,163.04 and 157,259.16 is: 217,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,097.76 : 283,163.04 = 157,259.16 : x
  2. Step 2: Convert to fraction form
    205,097.76/283,163.04 = 157,259.16/x
  3. Step 3: Cross multiply
    205,097.76x = 283,163.04 × 157,259.16
  4. Step 4: Simplify right side
    205,097.76x = 44,529,981,813.45
  5. Step 5: Solve for x
    x = 44,529,981,813.45/205,097.76
  6. Step 6: Final answer
    x = 217,115.89

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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.