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Finding the Fourth Proportional to 232,954.34, 349,373.79 and 99,819.50

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Solution

The fourth proportional to 232,954.34, 349,373.79 and 99,819.50 is: 149,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,954.34 : 349,373.79 = 99,819.50 : x
  2. Step 2: Convert to fraction form
    232,954.34/349,373.79 = 99,819.50/x
  3. Step 3: Cross multiply
    232,954.34x = 349,373.79 × 99,819.50
  4. Step 4: Simplify right side
    232,954.34x = 34,874,315,284.04
  5. Step 5: Solve for x
    x = 34,874,315,284.04/232,954.34
  6. Step 6: Final answer
    x = 149,704.51

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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.