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Finding the Fourth Proportional to 83,188.89, 114,800.22 and 45,463.14

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Solution

The fourth proportional to 83,188.89, 114,800.22 and 45,463.14 is: 62,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.89 : 114,800.22 = 45,463.14 : x
  2. Step 2: Convert to fraction form
    83,188.89/114,800.22 = 45,463.14/x
  3. Step 3: Cross multiply
    83,188.89x = 114,800.22 × 45,463.14
  4. Step 4: Simplify right side
    83,188.89x = 5,219,178,473.89
  5. Step 5: Solve for x
    x = 5,219,178,473.89/83,188.89
  6. Step 6: Final answer
    x = 62,738.89

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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.