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Finding the Fourth Proportional to 101,954.70, 152,932.05 and 97,872.30

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Solution

The fourth proportional to 101,954.70, 152,932.05 and 97,872.30 is: 146,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,954.70 : 152,932.05 = 97,872.30 : x
  2. Step 2: Convert to fraction form
    101,954.70/152,932.05 = 97,872.30/x
  3. Step 3: Cross multiply
    101,954.70x = 152,932.05 × 97,872.30
  4. Step 4: Simplify right side
    101,954.70x = 14,967,811,477.22
  5. Step 5: Solve for x
    x = 14,967,811,477.22/101,954.70
  6. Step 6: Final answer
    x = 146,808.45

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1.5x scale

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.