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Finding the Fourth Proportional to 97,871.60, 146,812.20 and 51,215.60

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Solution

The fourth proportional to 97,871.60, 146,812.20 and 51,215.60 is: 76,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,871.60 : 146,812.20 = 51,215.60 : x
  2. Step 2: Convert to fraction form
    97,871.60/146,812.20 = 51,215.60/x
  3. Step 3: Cross multiply
    97,871.60x = 146,812.20 × 51,215.60
  4. Step 4: Simplify right side
    97,871.60x = 7,519,074,910.32
  5. Step 5: Solve for x
    x = 7,519,074,910.32/97,871.60
  6. Step 6: Final answer
    x = 76,825.91

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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.