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Finding the Fourth Proportional to 282,041.37, 422,678.07 and 155,491.83

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Solution

The fourth proportional to 282,041.37, 422,678.07 and 155,491.83 is: 233,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,041.37 : 422,678.07 = 155,491.83 : x
  2. Step 2: Convert to fraction form
    282,041.37/422,678.07 = 155,491.83/x
  3. Step 3: Cross multiply
    282,041.37x = 422,678.07 × 155,491.83
  4. Step 4: Simplify right side
    282,041.37x = 65,722,986,605.17
  5. Step 5: Solve for x
    x = 65,722,986,605.17/282,041.37
  6. Step 6: Final answer
    x = 233,026.05

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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.