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Finding the Fourth Proportional to 101,942.20, 152,913.30 and 97,859.80

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Solution

The fourth proportional to 101,942.20, 152,913.30 and 97,859.80 is: 146,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,942.20 : 152,913.30 = 97,859.80 : x
  2. Step 2: Convert to fraction form
    101,942.20/152,913.30 = 97,859.80/x
  3. Step 3: Cross multiply
    101,942.20x = 152,913.30 × 97,859.80
  4. Step 4: Simplify right side
    101,942.20x = 14,964,064,955.34
  5. Step 5: Solve for x
    x = 14,964,064,955.34/101,942.20
  6. Step 6: Final answer
    x = 146,789.70

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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.