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Finding the Fourth Proportional to 160,819.20, 241,058.52 and 54,101.58

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Solution

The fourth proportional to 160,819.20, 241,058.52 and 54,101.58 is: 81,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,819.20 : 241,058.52 = 54,101.58 : x
  2. Step 2: Convert to fraction form
    160,819.20/241,058.52 = 54,101.58/x
  3. Step 3: Cross multiply
    160,819.20x = 241,058.52 × 54,101.58
  4. Step 4: Simplify right side
    160,819.20x = 13,041,646,804.46
  5. Step 5: Solve for x
    x = 13,041,646,804.46/160,819.20
  6. Step 6: Final answer
    x = 81,095.09

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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.