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Finding the Fourth Proportional to 178,753.08, 268,127.96 and 45,631.48

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Solution

The fourth proportional to 178,753.08, 268,127.96 and 45,631.48 is: 68,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,753.08 : 268,127.96 = 45,631.48 : x
  2. Step 2: Convert to fraction form
    178,753.08/268,127.96 = 45,631.48/x
  3. Step 3: Cross multiply
    178,753.08x = 268,127.96 × 45,631.48
  4. Step 4: Simplify right side
    178,753.08x = 12,235,075,644.18
  5. Step 5: Solve for x
    x = 12,235,075,644.18/178,753.08
  6. Step 6: Final answer
    x = 68,446.80

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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.