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Finding the Fourth Proportional to 262,811.60, 394,217.40 and 129,712.40

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Solution

The fourth proportional to 262,811.60, 394,217.40 and 129,712.40 is: 194,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,811.60 : 394,217.40 = 129,712.40 : x
  2. Step 2: Convert to fraction form
    262,811.60/394,217.40 = 129,712.40/x
  3. Step 3: Cross multiply
    262,811.60x = 394,217.40 × 129,712.40
  4. Step 4: Simplify right side
    262,811.60x = 51,134,885,075.76
  5. Step 5: Solve for x
    x = 51,134,885,075.76/262,811.60
  6. Step 6: Final answer
    x = 194,568.60

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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.