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Finding the Fourth Proportional to 96,406.74, 144,358.60 and 77,583.96

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Solution

The fourth proportional to 96,406.74, 144,358.60 and 77,583.96 is: 116,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,406.74 : 144,358.60 = 77,583.96 : x
  2. Step 2: Convert to fraction form
    96,406.74/144,358.60 = 77,583.96/x
  3. Step 3: Cross multiply
    96,406.74x = 144,358.60 × 77,583.96
  4. Step 4: Simplify right side
    96,406.74x = 11,199,910,932.30
  5. Step 5: Solve for x
    x = 11,199,910,932.30/96,406.74
  6. Step 6: Final answer
    x = 116,173.53

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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.