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Finding the Fourth Proportional to 119,064.54, 178,472.61 and 40,151.64

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Solution

The fourth proportional to 119,064.54, 178,472.61 and 40,151.64 is: 60,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,064.54 : 178,472.61 = 40,151.64 : x
  2. Step 2: Convert to fraction form
    119,064.54/178,472.61 = 40,151.64/x
  3. Step 3: Cross multiply
    119,064.54x = 178,472.61 × 40,151.64
  4. Step 4: Simplify right side
    119,064.54x = 7,165,967,986.58
  5. Step 5: Solve for x
    x = 7,165,967,986.58/119,064.54
  6. Step 6: Final answer
    x = 60,185.58

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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.