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Finding the Fourth Proportional to 159,058.32, 238,581.24 and 53,877.28

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Solution

The fourth proportional to 159,058.32, 238,581.24 and 53,877.28 is: 80,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,058.32 : 238,581.24 = 53,877.28 : x
  2. Step 2: Convert to fraction form
    159,058.32/238,581.24 = 53,877.28/x
  3. Step 3: Cross multiply
    159,058.32x = 238,581.24 × 53,877.28
  4. Step 4: Simplify right side
    159,058.32x = 12,854,108,270.23
  5. Step 5: Solve for x
    x = 12,854,108,270.23/159,058.32
  6. Step 6: Final answer
    x = 80,813.81

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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.