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Finding the Fourth Proportional to 282,057.39, 422,688.27 and 155,754.49

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Solution

The fourth proportional to 282,057.39, 422,688.27 and 155,754.49 is: 233,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,057.39 : 422,688.27 = 155,754.49 : x
  2. Step 2: Convert to fraction form
    282,057.39/422,688.27 = 155,754.49/x
  3. Step 3: Cross multiply
    282,057.39x = 422,688.27 × 155,754.49
  4. Step 4: Simplify right side
    282,057.39x = 65,835,595,922.83
  5. Step 5: Solve for x
    x = 65,835,595,922.83/282,057.39
  6. Step 6: Final answer
    x = 233,412.06

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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.