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Finding the Fourth Proportional to 237,835.76, 328,223.40 and 135,878

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Solution

The fourth proportional to 237,835.76, 328,223.40 and 135,878 is: 187,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,835.76 : 328,223.40 = 135,878 : x
  2. Step 2: Convert to fraction form
    237,835.76/328,223.40 = 135,878/x
  3. Step 3: Cross multiply
    237,835.76x = 328,223.40 × 135,878
  4. Step 4: Simplify right side
    237,835.76x = 44,598,339,145.20
  5. Step 5: Solve for x
    x = 44,598,339,145.20/237,835.76
  6. Step 6: Final answer
    x = 187,517.38

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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.