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Finding the Fourth Proportional to 178,873.92, 268,302.88 and 52,509.12

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Solution

The fourth proportional to 178,873.92, 268,302.88 and 52,509.12 is: 78,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,873.92 : 268,302.88 = 52,509.12 : x
  2. Step 2: Convert to fraction form
    178,873.92/268,302.88 = 52,509.12/x
  3. Step 3: Cross multiply
    178,873.92x = 268,302.88 × 52,509.12
  4. Step 4: Simplify right side
    178,873.92x = 14,088,348,122.27
  5. Step 5: Solve for x
    x = 14,088,348,122.27/178,873.92
  6. Step 6: Final answer
    x = 78,761.33

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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.