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Finding the Fourth Proportional to 268,961.80, 403,442.70 and 156,768.70

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Solution

The fourth proportional to 268,961.80, 403,442.70 and 156,768.70 is: 235,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,961.80 : 403,442.70 = 156,768.70 : x
  2. Step 2: Convert to fraction form
    268,961.80/403,442.70 = 156,768.70/x
  3. Step 3: Cross multiply
    268,961.80x = 403,442.70 × 156,768.70
  4. Step 4: Simplify right side
    268,961.80x = 63,247,187,603.49
  5. Step 5: Solve for x
    x = 63,247,187,603.49/268,961.80
  6. Step 6: Final answer
    x = 235,153.05

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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.