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Finding the Fourth Proportional to 205,685.80, 308,551.38 and 65,411.62

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Solution

The fourth proportional to 205,685.80, 308,551.38 and 65,411.62 is: 98,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,685.80 : 308,551.38 = 65,411.62 : x
  2. Step 2: Convert to fraction form
    205,685.80/308,551.38 = 65,411.62/x
  3. Step 3: Cross multiply
    205,685.80x = 308,551.38 × 65,411.62
  4. Step 4: Simplify right side
    205,685.80x = 20,182,845,619.04
  5. Step 5: Solve for x
    x = 20,182,845,619.04/205,685.80
  6. Step 6: Final answer
    x = 98,124.64

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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.