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Finding the Fourth Proportional to 221,797.60, 332,871.12 and 103,408

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Solution

The fourth proportional to 221,797.60, 332,871.12 and 103,408 is: 155,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,797.60 : 332,871.12 = 103,408 : x
  2. Step 2: Convert to fraction form
    221,797.60/332,871.12 = 103,408/x
  3. Step 3: Cross multiply
    221,797.60x = 332,871.12 × 103,408
  4. Step 4: Simplify right side
    221,797.60x = 34,421,536,776.96
  5. Step 5: Solve for x
    x = 34,421,536,776.96/221,797.60
  6. Step 6: Final answer
    x = 155,193.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.