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Finding the Fourth Proportional to 106,423.29, 146,865.15 and 58,678.38

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Solution

The fourth proportional to 106,423.29, 146,865.15 and 58,678.38 is: 80,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,423.29 : 146,865.15 = 58,678.38 : x
  2. Step 2: Convert to fraction form
    106,423.29/146,865.15 = 58,678.38/x
  3. Step 3: Cross multiply
    106,423.29x = 146,865.15 × 58,678.38
  4. Step 4: Simplify right side
    106,423.29x = 8,617,809,080.46
  5. Step 5: Solve for x
    x = 8,617,809,080.46/106,423.29
  6. Step 6: Final answer
    x = 80,976.72

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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.