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Finding the Fourth Proportional to 96,864.98, 133,733.31 and 76,802.90

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Solution

The fourth proportional to 96,864.98, 133,733.31 and 76,802.90 is: 106,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,864.98 : 133,733.31 = 76,802.90 : x
  2. Step 2: Convert to fraction form
    96,864.98/133,733.31 = 76,802.90/x
  3. Step 3: Cross multiply
    96,864.98x = 133,733.31 × 76,802.90
  4. Step 4: Simplify right side
    96,864.98x = 10,271,106,034.60
  5. Step 5: Solve for x
    x = 10,271,106,034.60/96,864.98
  6. Step 6: Final answer
    x = 106,035.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.