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Finding the Fourth Proportional to 160,252, 239,885.92 and 100,809.34

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Solution

The fourth proportional to 160,252, 239,885.92 and 100,809.34 is: 150,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,252 : 239,885.92 = 100,809.34 : x
  2. Step 2: Convert to fraction form
    160,252/239,885.92 = 100,809.34/x
  3. Step 3: Cross multiply
    160,252x = 239,885.92 × 100,809.34
  4. Step 4: Simplify right side
    160,252x = 24,182,741,270.49
  5. Step 5: Solve for x
    x = 24,182,741,270.49/160,252
  6. Step 6: Final answer
    x = 150,904.46

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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.