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Finding the Fourth Proportional to 101,910.70, 152,866.05 and 97,828.30

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Solution

The fourth proportional to 101,910.70, 152,866.05 and 97,828.30 is: 146,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,910.70 : 152,866.05 = 97,828.30 : x
  2. Step 2: Convert to fraction form
    101,910.70/152,866.05 = 97,828.30/x
  3. Step 3: Cross multiply
    101,910.70x = 152,866.05 × 97,828.30
  4. Step 4: Simplify right side
    101,910.70x = 14,954,625,799.22
  5. Step 5: Solve for x
    x = 14,954,625,799.22/101,910.70
  6. Step 6: Final answer
    x = 146,742.45

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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.