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Finding the Fourth Proportional to 178,751.85, 268,164.54 and 52,396.17

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Solution

The fourth proportional to 178,751.85, 268,164.54 and 52,396.17 is: 78,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,751.85 : 268,164.54 = 52,396.17 : x
  2. Step 2: Convert to fraction form
    178,751.85/268,164.54 = 52,396.17/x
  3. Step 3: Cross multiply
    178,751.85x = 268,164.54 × 52,396.17
  4. Step 4: Simplify right side
    178,751.85x = 14,050,794,825.81
  5. Step 5: Solve for x
    x = 14,050,794,825.81/178,751.85
  6. Step 6: Final answer
    x = 78,605.03

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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.