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Finding the Fourth Proportional to 178,803.20, 268,204.80 and 160,140.80

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Solution

The fourth proportional to 178,803.20, 268,204.80 and 160,140.80 is: 240,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,803.20 : 268,204.80 = 160,140.80 : x
  2. Step 2: Convert to fraction form
    178,803.20/268,204.80 = 160,140.80/x
  3. Step 3: Cross multiply
    178,803.20x = 268,204.80 × 160,140.80
  4. Step 4: Simplify right side
    178,803.20x = 42,950,531,235.84
  5. Step 5: Solve for x
    x = 42,950,531,235.84/178,803.20
  6. Step 6: Final answer
    x = 240,211.20

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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.