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Finding the Fourth Proportional to 159,465.08, 239,203.30 and 54,270.38

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Solution

The fourth proportional to 159,465.08, 239,203.30 and 54,270.38 is: 81,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,465.08 : 239,203.30 = 54,270.38 : x
  2. Step 2: Convert to fraction form
    159,465.08/239,203.30 = 54,270.38/x
  3. Step 3: Cross multiply
    159,465.08x = 239,203.30 × 54,270.38
  4. Step 4: Simplify right side
    159,465.08x = 12,981,653,988.25
  5. Step 5: Solve for x
    x = 12,981,653,988.25/159,465.08
  6. Step 6: Final answer
    x = 81,407.50

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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.