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Finding the Fourth Proportional to 256,064.60, 384,212.10 and 89,971.80

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Solution

The fourth proportional to 256,064.60, 384,212.10 and 89,971.80 is: 134,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,064.60 : 384,212.10 = 89,971.80 : x
  2. Step 2: Convert to fraction form
    256,064.60/384,212.10 = 89,971.80/x
  3. Step 3: Cross multiply
    256,064.60x = 384,212.10 × 89,971.80
  4. Step 4: Simplify right side
    256,064.60x = 34,568,254,218.78
  5. Step 5: Solve for x
    x = 34,568,254,218.78/256,064.60
  6. Step 6: Final answer
    x = 134,998.18

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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.