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Finding the Fourth Proportional to 282,278.52, 422,659.62 and 148,881.24

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Solution

The fourth proportional to 282,278.52, 422,659.62 and 148,881.24 is: 222,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,278.52 : 422,659.62 = 148,881.24 : x
  2. Step 2: Convert to fraction form
    282,278.52/422,659.62 = 148,881.24/x
  3. Step 3: Cross multiply
    282,278.52x = 422,659.62 × 148,881.24
  4. Step 4: Simplify right side
    282,278.52x = 62,926,088,323.53
  5. Step 5: Solve for x
    x = 62,926,088,323.53/282,278.52
  6. Step 6: Final answer
    x = 222,921.99

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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.