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Finding the Fourth Proportional to 270,377.52, 405,620.28 and 83,382

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Solution

The fourth proportional to 270,377.52, 405,620.28 and 83,382 is: 125,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,377.52 : 405,620.28 = 83,382 : x
  2. Step 2: Convert to fraction form
    270,377.52/405,620.28 = 83,382/x
  3. Step 3: Cross multiply
    270,377.52x = 405,620.28 × 83,382
  4. Step 4: Simplify right side
    270,377.52x = 33,821,430,186.96
  5. Step 5: Solve for x
    x = 33,821,430,186.96/270,377.52
  6. Step 6: Final answer
    x = 125,089.65

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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.