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Finding the Fourth Proportional to 159,411.84, 239,141.43 and 99,391.44

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Solution

The fourth proportional to 159,411.84, 239,141.43 and 99,391.44 is: 149,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,411.84 : 239,141.43 = 99,391.44 : x
  2. Step 2: Convert to fraction form
    159,411.84/239,141.43 = 99,391.44/x
  3. Step 3: Cross multiply
    159,411.84x = 239,141.43 × 99,391.44
  4. Step 4: Simplify right side
    159,411.84x = 23,768,611,091.36
  5. Step 5: Solve for x
    x = 23,768,611,091.36/159,411.84
  6. Step 6: Final answer
    x = 149,101.92

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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.