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Finding the Fourth Proportional to 158,538.44, 237,842.76 and 53,354

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Solution

The fourth proportional to 158,538.44, 237,842.76 and 53,354 is: 80,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,538.44 : 237,842.76 = 53,354 : x
  2. Step 2: Convert to fraction form
    158,538.44/237,842.76 = 53,354/x
  3. Step 3: Cross multiply
    158,538.44x = 237,842.76 × 53,354
  4. Step 4: Simplify right side
    158,538.44x = 12,689,862,617.04
  5. Step 5: Solve for x
    x = 12,689,862,617.04/158,538.44
  6. Step 6: Final answer
    x = 80,042.81

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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.