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Finding the Fourth Proportional to 115,384.84, 159,230.82 and 65,083.48

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Solution

The fourth proportional to 115,384.84, 159,230.82 and 65,083.48 is: 89,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,384.84 : 159,230.82 = 65,083.48 : x
  2. Step 2: Convert to fraction form
    115,384.84/159,230.82 = 65,083.48/x
  3. Step 3: Cross multiply
    115,384.84x = 159,230.82 × 65,083.48
  4. Step 4: Simplify right side
    115,384.84x = 10,363,295,888.85
  5. Step 5: Solve for x
    x = 10,363,295,888.85/115,384.84
  6. Step 6: Final answer
    x = 89,815.06

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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.