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Finding the Fourth Proportional to 237,516.32, 356,265.84 and 71,300

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Solution

The fourth proportional to 237,516.32, 356,265.84 and 71,300 is: 106,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,516.32 : 356,265.84 = 71,300 : x
  2. Step 2: Convert to fraction form
    237,516.32/356,265.84 = 71,300/x
  3. Step 3: Cross multiply
    237,516.32x = 356,265.84 × 71,300
  4. Step 4: Simplify right side
    237,516.32x = 25,401,754,392
  5. Step 5: Solve for x
    x = 25,401,754,392/237,516.32
  6. Step 6: Final answer
    x = 106,947.41

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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.