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Finding the Fourth Proportional to 178,052.76, 266,894.57 and 111,339.74

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Solution

The fourth proportional to 178,052.76, 266,894.57 and 111,339.74 is: 166,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,052.76 : 266,894.57 = 111,339.74 : x
  2. Step 2: Convert to fraction form
    178,052.76/266,894.57 = 111,339.74/x
  3. Step 3: Cross multiply
    178,052.76x = 266,894.57 × 111,339.74
  4. Step 4: Simplify right side
    178,052.76x = 29,715,970,140.04
  5. Step 5: Solve for x
    x = 29,715,970,140.04/178,052.76
  6. Step 6: Final answer
    x = 166,894.18

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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.