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Finding the Fourth Proportional to 234,652.16, 323,734.96 and 154,123.36

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Solution

The fourth proportional to 234,652.16, 323,734.96 and 154,123.36 is: 212,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,652.16 : 323,734.96 = 154,123.36 : x
  2. Step 2: Convert to fraction form
    234,652.16/323,734.96 = 154,123.36/x
  3. Step 3: Cross multiply
    234,652.16x = 323,734.96 × 154,123.36
  4. Step 4: Simplify right side
    234,652.16x = 49,895,119,784.67
  5. Step 5: Solve for x
    x = 49,895,119,784.67/234,652.16
  6. Step 6: Final answer
    x = 212,634.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.