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Finding the Fourth Proportional to 178,751.89, 268,091.51 and 52,358.20

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Solution

The fourth proportional to 178,751.89, 268,091.51 and 52,358.20 is: 78,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,751.89 : 268,091.51 = 52,358.20 : x
  2. Step 2: Convert to fraction form
    178,751.89/268,091.51 = 52,358.20/x
  3. Step 3: Cross multiply
    178,751.89x = 268,091.51 × 52,358.20
  4. Step 4: Simplify right side
    178,751.89x = 14,036,787,966.86
  5. Step 5: Solve for x
    x = 14,036,787,966.86/178,751.89
  6. Step 6: Final answer
    x = 78,526.65

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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.