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Finding the Fourth Proportional to 160,115.58, 240,178.20 and 54,933

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Solution

The fourth proportional to 160,115.58, 240,178.20 and 54,933 is: 82,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,115.58 : 240,178.20 = 54,933 : x
  2. Step 2: Convert to fraction form
    160,115.58/240,178.20 = 54,933/x
  3. Step 3: Cross multiply
    160,115.58x = 240,178.20 × 54,933
  4. Step 4: Simplify right side
    160,115.58x = 13,193,709,060.60
  5. Step 5: Solve for x
    x = 13,193,709,060.60/160,115.58
  6. Step 6: Final answer
    x = 82,401.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.