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Finding the Fourth Proportional to 205,864.32, 308,542.14 and 121,539

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Solution

The fourth proportional to 205,864.32, 308,542.14 and 121,539 is: 182,158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,864.32 : 308,542.14 = 121,539 : x
  2. Step 2: Convert to fraction form
    205,864.32/308,542.14 = 121,539/x
  3. Step 3: Cross multiply
    205,864.32x = 308,542.14 × 121,539
  4. Step 4: Simplify right side
    205,864.32x = 37,499,903,153.46
  5. Step 5: Solve for x
    x = 37,499,903,153.46/205,864.32
  6. Step 6: Final answer
    x = 182,158.34

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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.