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Finding the Fourth Proportional to 106,106.31, 146,426.94 and 58,358.70

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Solution

The fourth proportional to 106,106.31, 146,426.94 and 58,358.70 is: 80,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,106.31 : 146,426.94 = 58,358.70 : x
  2. Step 2: Convert to fraction form
    106,106.31/146,426.94 = 58,358.70/x
  3. Step 3: Cross multiply
    106,106.31x = 146,426.94 × 58,358.70
  4. Step 4: Simplify right side
    106,106.31x = 8,545,285,863.38
  5. Step 5: Solve for x
    x = 8,545,285,863.38/106,106.31
  6. Step 6: Final answer
    x = 80,535.13

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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.