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Finding the Fourth Proportional to 159,058.51, 238,581.52 and 53,877.47

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Solution

The fourth proportional to 159,058.51, 238,581.52 and 53,877.47 is: 80,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,058.51 : 238,581.52 = 53,877.47 : x
  2. Step 2: Convert to fraction form
    159,058.51/238,581.52 = 53,877.47/x
  3. Step 3: Cross multiply
    159,058.51x = 238,581.52 × 53,877.47
  4. Step 4: Simplify right side
    159,058.51x = 12,854,168,686.35
  5. Step 5: Solve for x
    x = 12,854,168,686.35/159,058.51
  6. Step 6: Final answer
    x = 80,814.09

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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.