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Finding the Fourth Proportional to 272,846.61, 409,333.23 and 85,853.25

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Solution

The fourth proportional to 272,846.61, 409,333.23 and 85,853.25 is: 128,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,846.61 : 409,333.23 = 85,853.25 : x
  2. Step 2: Convert to fraction form
    272,846.61/409,333.23 = 85,853.25/x
  3. Step 3: Cross multiply
    272,846.61x = 409,333.23 × 85,853.25
  4. Step 4: Simplify right side
    272,846.61x = 35,142,588,128.50
  5. Step 5: Solve for x
    x = 35,142,588,128.50/272,846.61
  6. Step 6: Final answer
    x = 128,799.80

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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.