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Finding the Fourth Proportional to 97,772.40, 146,950.20 and 96,022.80

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Solution

The fourth proportional to 97,772.40, 146,950.20 and 96,022.80 is: 144,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,772.40 : 146,950.20 = 96,022.80 : x
  2. Step 2: Convert to fraction form
    97,772.40/146,950.20 = 96,022.80/x
  3. Step 3: Cross multiply
    97,772.40x = 146,950.20 × 96,022.80
  4. Step 4: Simplify right side
    97,772.40x = 14,110,569,664.56
  5. Step 5: Solve for x
    x = 14,110,569,664.56/97,772.40
  6. Step 6: Final answer
    x = 144,320.58

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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.