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Finding the Fourth Proportional to 106,438.32, 146,885.88 and 58,693.38

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Solution

The fourth proportional to 106,438.32, 146,885.88 and 58,693.38 is: 80,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,438.32 : 146,885.88 = 58,693.38 : x
  2. Step 2: Convert to fraction form
    106,438.32/146,885.88 = 58,693.38/x
  3. Step 3: Cross multiply
    106,438.32x = 146,885.88 × 58,693.38
  4. Step 4: Simplify right side
    106,438.32x = 8,621,228,771.47
  5. Step 5: Solve for x
    x = 8,621,228,771.47/106,438.32
  6. Step 6: Final answer
    x = 80,997.41

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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.