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Finding the Fourth Proportional to 106,423.70, 146,865.69 and 58,678.74

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Solution

The fourth proportional to 106,423.70, 146,865.69 and 58,678.74 is: 80,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,423.70 : 146,865.69 = 58,678.74 : x
  2. Step 2: Convert to fraction form
    106,423.70/146,865.69 = 58,678.74/x
  3. Step 3: Cross multiply
    106,423.70x = 146,865.69 × 58,678.74
  4. Step 4: Simplify right side
    106,423.70x = 8,617,893,638.43
  5. Step 5: Solve for x
    x = 8,617,893,638.43/106,423.70
  6. Step 6: Final answer
    x = 80,977.21

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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.