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Finding the Fourth Proportional to 205,708.80, 308,584.80 and 65,434.80

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Solution

The fourth proportional to 205,708.80, 308,584.80 and 65,434.80 is: 98,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708.80 : 308,584.80 = 65,434.80 : x
  2. Step 2: Convert to fraction form
    205,708.80/308,584.80 = 65,434.80/x
  3. Step 3: Cross multiply
    205,708.80x = 308,584.80 × 65,434.80
  4. Step 4: Simplify right side
    205,708.80x = 20,192,184,671.04
  5. Step 5: Solve for x
    x = 20,192,184,671.04/205,708.80
  6. Step 6: Final answer
    x = 98,159.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.