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Finding the Fourth Proportional to 150,760.58, 226,002.06 and 65,317.74

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Solution

The fourth proportional to 150,760.58, 226,002.06 and 65,317.74 is: 97,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,760.58 : 226,002.06 = 65,317.74 : x
  2. Step 2: Convert to fraction form
    150,760.58/226,002.06 = 65,317.74/x
  3. Step 3: Cross multiply
    150,760.58x = 226,002.06 × 65,317.74
  4. Step 4: Simplify right side
    150,760.58x = 14,761,943,794.54
  5. Step 5: Solve for x
    x = 14,761,943,794.54/150,760.58
  6. Step 6: Final answer
    x = 97,916.47

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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.