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Finding the Fourth Proportional to 282,180.84, 423,284.22 and 71,820.60

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Solution

The fourth proportional to 282,180.84, 423,284.22 and 71,820.60 is: 107,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,180.84 : 423,284.22 = 71,820.60 : x
  2. Step 2: Convert to fraction form
    282,180.84/423,284.22 = 71,820.60/x
  3. Step 3: Cross multiply
    282,180.84x = 423,284.22 × 71,820.60
  4. Step 4: Simplify right side
    282,180.84x = 30,400,526,650.93
  5. Step 5: Solve for x
    x = 30,400,526,650.93/282,180.84
  6. Step 6: Final answer
    x = 107,734.20

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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.