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Finding the Fourth Proportional to 283,106, 424,724.62 and 96,117.50

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Solution

The fourth proportional to 283,106, 424,724.62 and 96,117.50 is: 144,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,106 : 424,724.62 = 96,117.50 : x
  2. Step 2: Convert to fraction form
    283,106/424,724.62 = 96,117.50/x
  3. Step 3: Cross multiply
    283,106x = 424,724.62 × 96,117.50
  4. Step 4: Simplify right side
    283,106x = 40,823,468,662.85
  5. Step 5: Solve for x
    x = 40,823,468,662.85/283,106
  6. Step 6: Final answer
    x = 144,198.53

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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.