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Finding the Fourth Proportional to 242,527.80, 363,791.70 and 76,315.80

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Solution

The fourth proportional to 242,527.80, 363,791.70 and 76,315.80 is: 114,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,527.80 : 363,791.70 = 76,315.80 : x
  2. Step 2: Convert to fraction form
    242,527.80/363,791.70 = 76,315.80/x
  3. Step 3: Cross multiply
    242,527.80x = 363,791.70 × 76,315.80
  4. Step 4: Simplify right side
    242,527.80x = 27,763,054,618.86
  5. Step 5: Solve for x
    x = 27,763,054,618.86/242,527.80
  6. Step 6: Final answer
    x = 114,473.70

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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.