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Finding the Fourth Proportional to 185,798, 256,401.72 and 109,319.96

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Solution

The fourth proportional to 185,798, 256,401.72 and 109,319.96 is: 150,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,798 : 256,401.72 = 109,319.96 : x
  2. Step 2: Convert to fraction form
    185,798/256,401.72 = 109,319.96/x
  3. Step 3: Cross multiply
    185,798x = 256,401.72 × 109,319.96
  4. Step 4: Simplify right side
    185,798x = 28,029,825,774.33
  5. Step 5: Solve for x
    x = 28,029,825,774.33/185,798
  6. Step 6: Final answer
    x = 150,861.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.