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Finding the Fourth Proportional to 153,872, 212,344 and 83,216

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Solution

The fourth proportional to 153,872, 212,344 and 83,216 is: 114,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872 : 212,344 = 83,216 : x
  2. Step 2: Convert to fraction form
    153,872/212,344 = 83,216/x
  3. Step 3: Cross multiply
    153,872x = 212,344 × 83,216
  4. Step 4: Simplify right side
    153,872x = 17,670,418,304
  5. Step 5: Solve for x
    x = 17,670,418,304/153,872
  6. Step 6: Final answer
    x = 114,838.43

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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.