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Finding the Fourth Proportional to 101,600.40, 152,141.40 and 80,864.40

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Solution

The fourth proportional to 101,600.40, 152,141.40 and 80,864.40 is: 121,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,600.40 : 152,141.40 = 80,864.40 : x
  2. Step 2: Convert to fraction form
    101,600.40/152,141.40 = 80,864.40/x
  3. Step 3: Cross multiply
    101,600.40x = 152,141.40 × 80,864.40
  4. Step 4: Simplify right side
    101,600.40x = 12,302,823,026.16
  5. Step 5: Solve for x
    x = 12,302,823,026.16/101,600.40
  6. Step 6: Final answer
    x = 121,090.30

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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.