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Finding the Fourth Proportional to 83,143.45, 114,737.22 and 45,416.89

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Solution

The fourth proportional to 83,143.45, 114,737.22 and 45,416.89 is: 62,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.45 : 114,737.22 = 45,416.89 : x
  2. Step 2: Convert to fraction form
    83,143.45/114,737.22 = 45,416.89/x
  3. Step 3: Cross multiply
    83,143.45x = 114,737.22 × 45,416.89
  4. Step 4: Simplify right side
    83,143.45x = 5,211,007,699.65
  5. Step 5: Solve for x
    x = 5,211,007,699.65/83,143.45
  6. Step 6: Final answer
    x = 62,674.90

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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.