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Finding the Fourth Proportional to 178,856.00, 268,285.52 and 52,498.33

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Solution

The fourth proportional to 178,856.00, 268,285.52 and 52,498.33 is: 78,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,856.00 : 268,285.52 = 52,498.33 : x
  2. Step 2: Convert to fraction form
    178,856.00/268,285.52 = 52,498.33/x
  3. Step 3: Cross multiply
    178,856.00x = 268,285.52 × 52,498.33
  4. Step 4: Simplify right side
    178,856.00x = 14,084,540,928.41
  5. Step 5: Solve for x
    x = 14,084,540,928.41/178,856.00
  6. Step 6: Final answer
    x = 78,747.94

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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.