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Finding the Fourth Proportional to 185,459.16, 278,181.04 and 85,586.16

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Solution

The fourth proportional to 185,459.16, 278,181.04 and 85,586.16 is: 128,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,459.16 : 278,181.04 = 85,586.16 : x
  2. Step 2: Convert to fraction form
    185,459.16/278,181.04 = 85,586.16/x
  3. Step 3: Cross multiply
    185,459.16x = 278,181.04 × 85,586.16
  4. Step 4: Simplify right side
    185,459.16x = 23,808,446,998.41
  5. Step 5: Solve for x
    x = 23,808,446,998.41/185,459.16
  6. Step 6: Final answer
    x = 128,375.69

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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.