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Finding the Fourth Proportional to 272,843.10, 409,264.65 and 85,830.30

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Solution

The fourth proportional to 272,843.10, 409,264.65 and 85,830.30 is: 128,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,843.10 : 409,264.65 = 85,830.30 : x
  2. Step 2: Convert to fraction form
    272,843.10/409,264.65 = 85,830.30/x
  3. Step 3: Cross multiply
    272,843.10x = 409,264.65 × 85,830.30
  4. Step 4: Simplify right side
    272,843.10x = 35,127,307,688.90
  5. Step 5: Solve for x
    x = 35,127,307,688.90/272,843.10
  6. Step 6: Final answer
    x = 128,745.45

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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.