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Finding the Fourth Proportional to 272,907.84, 409,219.20 and 85,869.12

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Solution

The fourth proportional to 272,907.84, 409,219.20 and 85,869.12 is: 128,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,907.84 : 409,219.20 = 85,869.12 : x
  2. Step 2: Convert to fraction form
    272,907.84/409,219.20 = 85,869.12/x
  3. Step 3: Cross multiply
    272,907.84x = 409,219.20 × 85,869.12
  4. Step 4: Simplify right side
    272,907.84x = 35,139,292,591.10
  5. Step 5: Solve for x
    x = 35,139,292,591.10/272,907.84
  6. Step 6: Final answer
    x = 128,758.82

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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.