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Finding the Fourth Proportional to 101,914.70, 152,872.05 and 97,832.30

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Solution

The fourth proportional to 101,914.70, 152,872.05 and 97,832.30 is: 146,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,914.70 : 152,872.05 = 97,832.30 : x
  2. Step 2: Convert to fraction form
    101,914.70/152,872.05 = 97,832.30/x
  3. Step 3: Cross multiply
    101,914.70x = 152,872.05 × 97,832.30
  4. Step 4: Simplify right side
    101,914.70x = 14,955,824,257.22
  5. Step 5: Solve for x
    x = 14,955,824,257.22/101,914.70
  6. Step 6: Final answer
    x = 146,748.45

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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.