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Finding the Fourth Proportional to 101,901.70, 152,852.55 and 97,819.30

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Solution

The fourth proportional to 101,901.70, 152,852.55 and 97,819.30 is: 146,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,901.70 : 152,852.55 = 97,819.30 : x
  2. Step 2: Convert to fraction form
    101,901.70/152,852.55 = 97,819.30/x
  3. Step 3: Cross multiply
    101,901.70x = 152,852.55 × 97,819.30
  4. Step 4: Simplify right side
    101,901.70x = 14,951,929,444.22
  5. Step 5: Solve for x
    x = 14,951,929,444.22/101,901.70
  6. Step 6: Final answer
    x = 146,728.95

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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.