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Finding the Fourth Proportional to 109,713.40, 164,570.10 and 101,073.40

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Solution

The fourth proportional to 109,713.40, 164,570.10 and 101,073.40 is: 151,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,713.40 : 164,570.10 = 101,073.40 : x
  2. Step 2: Convert to fraction form
    109,713.40/164,570.10 = 101,073.40/x
  3. Step 3: Cross multiply
    109,713.40x = 164,570.10 × 101,073.40
  4. Step 4: Simplify right side
    109,713.40x = 16,633,659,545.34
  5. Step 5: Solve for x
    x = 16,633,659,545.34/109,713.40
  6. Step 6: Final answer
    x = 151,610.10

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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.