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Finding the Fourth Proportional to 230,581.40, 345,920.70 and 97,393.10

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Solution

The fourth proportional to 230,581.40, 345,920.70 and 97,393.10 is: 146,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,581.40 : 345,920.70 = 97,393.10 : x
  2. Step 2: Convert to fraction form
    230,581.40/345,920.70 = 97,393.10/x
  3. Step 3: Cross multiply
    230,581.40x = 345,920.70 × 97,393.10
  4. Step 4: Simplify right side
    230,581.40x = 33,690,289,327.17
  5. Step 5: Solve for x
    x = 33,690,289,327.17/230,581.40
  6. Step 6: Final answer
    x = 146,110.18

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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.