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Finding the Fourth Proportional to 205,966.80, 308,431.80 and 135,464.40

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Solution

The fourth proportional to 205,966.80, 308,431.80 and 135,464.40 is: 202,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,966.80 : 308,431.80 = 135,464.40 : x
  2. Step 2: Convert to fraction form
    205,966.80/308,431.80 = 135,464.40/x
  3. Step 3: Cross multiply
    205,966.80x = 308,431.80 × 135,464.40
  4. Step 4: Simplify right side
    205,966.80x = 41,781,528,727.92
  5. Step 5: Solve for x
    x = 41,781,528,727.92/205,966.80
  6. Step 6: Final answer
    x = 202,855.65

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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.