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Finding the Fourth Proportional to 272,857.70, 409,331.35 and 85,824.10

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Solution

The fourth proportional to 272,857.70, 409,331.35 and 85,824.10 is: 128,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,857.70 : 409,331.35 = 85,824.10 : x
  2. Step 2: Convert to fraction form
    272,857.70/409,331.35 = 85,824.10/x
  3. Step 3: Cross multiply
    272,857.70x = 409,331.35 × 85,824.10
  4. Step 4: Simplify right side
    272,857.70x = 35,130,494,715.54
  5. Step 5: Solve for x
    x = 35,130,494,715.54/272,857.70
  6. Step 6: Final answer
    x = 128,750.24

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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.