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Finding the Fourth Proportional to 272,837.60, 409,256.40 and 85,824.80

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Solution

The fourth proportional to 272,837.60, 409,256.40 and 85,824.80 is: 128,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,837.60 : 409,256.40 = 85,824.80 : x
  2. Step 2: Convert to fraction form
    272,837.60/409,256.40 = 85,824.80/x
  3. Step 3: Cross multiply
    272,837.60x = 409,256.40 × 85,824.80
  4. Step 4: Simplify right side
    272,837.60x = 35,124,348,678.72
  5. Step 5: Solve for x
    x = 35,124,348,678.72/272,837.60
  6. Step 6: Final answer
    x = 128,737.20

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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.