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Finding the Fourth Proportional to 178,768.67, 268,152.85 and 45,648.95

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Solution

The fourth proportional to 178,768.67, 268,152.85 and 45,648.95 is: 68,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,768.67 : 268,152.85 = 45,648.95 : x
  2. Step 2: Convert to fraction form
    178,768.67/268,152.85 = 45,648.95/x
  3. Step 3: Cross multiply
    178,768.67x = 268,152.85 × 45,648.95
  4. Step 4: Simplify right side
    178,768.67x = 12,240,896,042.01
  5. Step 5: Solve for x
    x = 12,240,896,042.01/178,768.67
  6. Step 6: Final answer
    x = 68,473.39

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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.