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Finding the Fourth Proportional to 157,954.49, 236,954.01 and 51,304.30

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Solution

The fourth proportional to 157,954.49, 236,954.01 and 51,304.30 is: 76,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,954.49 : 236,954.01 = 51,304.30 : x
  2. Step 2: Convert to fraction form
    157,954.49/236,954.01 = 51,304.30/x
  3. Step 3: Cross multiply
    157,954.49x = 236,954.01 × 51,304.30
  4. Step 4: Simplify right side
    157,954.49x = 12,156,758,730.42
  5. Step 5: Solve for x
    x = 12,156,758,730.42/157,954.49
  6. Step 6: Final answer
    x = 76,963.68

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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.