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Finding the Fourth Proportional to 205,437.20, 308,155.80 and 187,066.40

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Solution

The fourth proportional to 205,437.20, 308,155.80 and 187,066.40 is: 280,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,437.20 : 308,155.80 = 187,066.40 : x
  2. Step 2: Convert to fraction form
    205,437.20/308,155.80 = 187,066.40/x
  3. Step 3: Cross multiply
    205,437.20x = 308,155.80 × 187,066.40
  4. Step 4: Simplify right side
    205,437.20x = 57,645,596,145.12
  5. Step 5: Solve for x
    x = 57,645,596,145.12/205,437.20
  6. Step 6: Final answer
    x = 280,599.60

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