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Finding the Fourth Proportional to 281,523.38, 388,508.58 and 160,662.26

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Solution

The fourth proportional to 281,523.38, 388,508.58 and 160,662.26 is: 221,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,523.38 : 388,508.58 = 160,662.26 : x
  2. Step 2: Convert to fraction form
    281,523.38/388,508.58 = 160,662.26/x
  3. Step 3: Cross multiply
    281,523.38x = 388,508.58 × 160,662.26
  4. Step 4: Simplify right side
    281,523.38x = 62,418,666,492.19
  5. Step 5: Solve for x
    x = 62,418,666,492.19/281,523.38
  6. Step 6: Final answer
    x = 221,717.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.