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Finding the Fourth Proportional to 83,328.80, 114,994.05 and 76,971.62

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Solution

The fourth proportional to 83,328.80, 114,994.05 and 76,971.62 is: 106,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,328.80 : 114,994.05 = 76,971.62 : x
  2. Step 2: Convert to fraction form
    83,328.80/114,994.05 = 76,971.62/x
  3. Step 3: Cross multiply
    83,328.80x = 114,994.05 × 76,971.62
  4. Step 4: Simplify right side
    83,328.80x = 8,851,278,320.31
  5. Step 5: Solve for x
    x = 8,851,278,320.31/83,328.80
  6. Step 6: Final answer
    x = 106,221.12

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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.