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Finding the Fourth Proportional to 118,874.34, 178,369.50 and 52,306.08

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Solution

The fourth proportional to 118,874.34, 178,369.50 and 52,306.08 is: 78,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,874.34 : 178,369.50 = 52,306.08 : x
  2. Step 2: Convert to fraction form
    118,874.34/178,369.50 = 52,306.08/x
  3. Step 3: Cross multiply
    118,874.34x = 178,369.50 × 52,306.08
  4. Step 4: Simplify right side
    118,874.34x = 9,329,809,336.56
  5. Step 5: Solve for x
    x = 9,329,809,336.56/118,874.34
  6. Step 6: Final answer
    x = 78,484.64

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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.