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Finding the Fourth Proportional to 96,064.89, 143,802.06 and 81,893.13

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Solution

The fourth proportional to 96,064.89, 143,802.06 and 81,893.13 is: 122,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,064.89 : 143,802.06 = 81,893.13 : x
  2. Step 2: Convert to fraction form
    96,064.89/143,802.06 = 81,893.13/x
  3. Step 3: Cross multiply
    96,064.89x = 143,802.06 × 81,893.13
  4. Step 4: Simplify right side
    96,064.89x = 11,776,400,793.85
  5. Step 5: Solve for x
    x = 11,776,400,793.85/96,064.89
  6. Step 6: Final answer
    x = 122,587.98

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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.