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Finding the Fourth Proportional to 237,841.76, 328,231.68 and 135,884

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Solution

The fourth proportional to 237,841.76, 328,231.68 and 135,884 is: 187,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,841.76 : 328,231.68 = 135,884 : x
  2. Step 2: Convert to fraction form
    237,841.76/328,231.68 = 135,884/x
  3. Step 3: Cross multiply
    237,841.76x = 328,231.68 × 135,884
  4. Step 4: Simplify right side
    237,841.76x = 44,601,433,605.12
  5. Step 5: Solve for x
    x = 44,601,433,605.12/237,841.76
  6. Step 6: Final answer
    x = 187,525.66

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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.