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Finding the Fourth Proportional to 178,810.54, 268,412.76 and 151,074.52

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Solution

The fourth proportional to 178,810.54, 268,412.76 and 151,074.52 is: 226,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,810.54 : 268,412.76 = 151,074.52 : x
  2. Step 2: Convert to fraction form
    178,810.54/268,412.76 = 151,074.52/x
  3. Step 3: Cross multiply
    178,810.54x = 268,412.76 × 151,074.52
  4. Step 4: Simplify right side
    178,810.54x = 40,550,328,878.88
  5. Step 5: Solve for x
    x = 40,550,328,878.88/178,810.54
  6. Step 6: Final answer
    x = 226,778.18

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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.