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Finding the Fourth Proportional to 281,044.16, 421,566.24 and 114,832

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Solution

The fourth proportional to 281,044.16, 421,566.24 and 114,832 is: 172,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,044.16 : 421,566.24 = 114,832 : x
  2. Step 2: Convert to fraction form
    281,044.16/421,566.24 = 114,832/x
  3. Step 3: Cross multiply
    281,044.16x = 421,566.24 × 114,832
  4. Step 4: Simplify right side
    281,044.16x = 48,409,294,471.68
  5. Step 5: Solve for x
    x = 48,409,294,471.68/281,044.16
  6. Step 6: Final answer
    x = 172,248.00

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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.