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Finding the Fourth Proportional to 176,468.90, 264,314.55 and 156,769.70

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Solution

The fourth proportional to 176,468.90, 264,314.55 and 156,769.70 is: 234,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,468.90 : 264,314.55 = 156,769.70 : x
  2. Step 2: Convert to fraction form
    176,468.90/264,314.55 = 156,769.70/x
  3. Step 3: Cross multiply
    176,468.90x = 264,314.55 × 156,769.70
  4. Step 4: Simplify right side
    176,468.90x = 41,436,512,709.14
  5. Step 5: Solve for x
    x = 41,436,512,709.14/176,468.90
  6. Step 6: Final answer
    x = 234,809.15

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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.