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Finding the Fourth Proportional to 106,208.70, 146,568.05 and 58,461.71

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Solution

The fourth proportional to 106,208.70, 146,568.05 and 58,461.71 is: 80,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,208.70 : 146,568.05 = 58,461.71 : x
  2. Step 2: Convert to fraction form
    106,208.70/146,568.05 = 58,461.71/x
  3. Step 3: Cross multiply
    106,208.70x = 146,568.05 × 58,461.71
  4. Step 4: Simplify right side
    106,208.70x = 8,568,617,809.22
  5. Step 5: Solve for x
    x = 8,568,617,809.22/106,208.70
  6. Step 6: Final answer
    x = 80,677.17

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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.