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Finding the Fourth Proportional to 242,237.81, 363,438.21 and 107,283.17

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Solution

The fourth proportional to 242,237.81, 363,438.21 and 107,283.17 is: 160,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,237.81 : 363,438.21 = 107,283.17 : x
  2. Step 2: Convert to fraction form
    242,237.81/363,438.21 = 107,283.17/x
  3. Step 3: Cross multiply
    242,237.81x = 363,438.21 × 107,283.17
  4. Step 4: Simplify right side
    242,237.81x = 38,990,801,450.73
  5. Step 5: Solve for x
    x = 38,990,801,450.73/242,237.81
  6. Step 6: Final answer
    x = 160,960.84

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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.