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Finding the Fourth Proportional to 232,900.46, 349,101.56 and 120,467.50

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Solution

The fourth proportional to 232,900.46, 349,101.56 and 120,467.50 is: 180,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,900.46 : 349,101.56 = 120,467.50 : x
  2. Step 2: Convert to fraction form
    232,900.46/349,101.56 = 120,467.50/x
  3. Step 3: Cross multiply
    232,900.46x = 349,101.56 × 120,467.50
  4. Step 4: Simplify right side
    232,900.46x = 42,055,392,179.30
  5. Step 5: Solve for x
    x = 42,055,392,179.30/232,900.46
  6. Step 6: Final answer
    x = 180,572.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.