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Finding the Fourth Proportional to 176,477.90, 264,328.05 and 156,778.70

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Solution

The fourth proportional to 176,477.90, 264,328.05 and 156,778.70 is: 234,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,477.90 : 264,328.05 = 156,778.70 : x
  2. Step 2: Convert to fraction form
    176,477.90/264,328.05 = 156,778.70/x
  3. Step 3: Cross multiply
    176,477.90x = 264,328.05 × 156,778.70
  4. Step 4: Simplify right side
    176,477.90x = 41,441,008,052.54
  5. Step 5: Solve for x
    x = 41,441,008,052.54/176,477.90
  6. Step 6: Final answer
    x = 234,822.65

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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.