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Finding the Fourth Proportional to 97,858.45, 146,786.89 and 58,152.61

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Solution

The fourth proportional to 97,858.45, 146,786.89 and 58,152.61 is: 87,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,858.45 : 146,786.89 = 58,152.61 : x
  2. Step 2: Convert to fraction form
    97,858.45/146,786.89 = 58,152.61/x
  3. Step 3: Cross multiply
    97,858.45x = 146,786.89 × 58,152.61
  4. Step 4: Simplify right side
    97,858.45x = 8,536,040,767.28
  5. Step 5: Solve for x
    x = 8,536,040,767.28/97,858.45
  6. Step 6: Final answer
    x = 87,228.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.