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Finding the Fourth Proportional to 158,264, 237,396 and 47,456

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Solution

The fourth proportional to 158,264, 237,396 and 47,456 is: 71,184

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,264 : 237,396 = 47,456 : x
  2. Step 2: Convert to fraction form
    158,264/237,396 = 47,456/x
  3. Step 3: Cross multiply
    158,264x = 237,396 × 47,456
  4. Step 4: Simplify right side
    158,264x = 11,265,864,576
  5. Step 5: Solve for x
    x = 11,265,864,576/158,264
  6. Step 6: Final answer
    x = 71,184

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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.