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Finding the Fourth Proportional to 83,166, 114,771.51 and 45,442.68

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Solution

The fourth proportional to 83,166, 114,771.51 and 45,442.68 is: 62,712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,166 : 114,771.51 = 45,442.68 : x
  2. Step 2: Convert to fraction form
    83,166/114,771.51 = 45,442.68/x
  3. Step 3: Cross multiply
    83,166x = 114,771.51 × 45,442.68
  4. Step 4: Simplify right side
    83,166x = 5,215,525,002.05
  5. Step 5: Solve for x
    x = 5,215,525,002.05/83,166
  6. Step 6: Final answer
    x = 62,712.23

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