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Finding the Fourth Proportional to 106,391.79, 146,818.62 and 57,994.17

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Solution

The fourth proportional to 106,391.79, 146,818.62 and 57,994.17 is: 80,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,391.79 : 146,818.62 = 57,994.17 : x
  2. Step 2: Convert to fraction form
    106,391.79/146,818.62 = 57,994.17/x
  3. Step 3: Cross multiply
    106,391.79x = 146,818.62 × 57,994.17
  4. Step 4: Simplify right side
    106,391.79x = 8,514,624,007.45
  5. Step 5: Solve for x
    x = 8,514,624,007.45/106,391.79
  6. Step 6: Final answer
    x = 80,030.84

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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.