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Finding the Fourth Proportional to 221,858.80, 332,788.20 and 97,442.80

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Solution

The fourth proportional to 221,858.80, 332,788.20 and 97,442.80 is: 146,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,858.80 : 332,788.20 = 97,442.80 : x
  2. Step 2: Convert to fraction form
    221,858.80/332,788.20 = 97,442.80/x
  3. Step 3: Cross multiply
    221,858.80x = 332,788.20 × 97,442.80
  4. Step 4: Simplify right side
    221,858.80x = 32,427,814,014.96
  5. Step 5: Solve for x
    x = 32,427,814,014.96/221,858.80
  6. Step 6: Final answer
    x = 146,164.20

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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.