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Finding the Fourth Proportional to 192,238.96, 287,956.32 and 154,595.20

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Solution

The fourth proportional to 192,238.96, 287,956.32 and 154,595.20 is: 231,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,238.96 : 287,956.32 = 154,595.20 : x
  2. Step 2: Convert to fraction form
    192,238.96/287,956.32 = 154,595.20/x
  3. Step 3: Cross multiply
    192,238.96x = 287,956.32 × 154,595.20
  4. Step 4: Simplify right side
    192,238.96x = 44,516,664,881.66
  5. Step 5: Solve for x
    x = 44,516,664,881.66/192,238.96
  6. Step 6: Final answer
    x = 231,569.42

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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.