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Finding the Fourth Proportional to 242,241, 363,374.46 and 76,041.96

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Solution

The fourth proportional to 242,241, 363,374.46 and 76,041.96 is: 114,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,241 : 363,374.46 = 76,041.96 : x
  2. Step 2: Convert to fraction form
    242,241/363,374.46 = 76,041.96/x
  3. Step 3: Cross multiply
    242,241x = 363,374.46 × 76,041.96
  4. Step 4: Simplify right side
    242,241x = 27,631,706,152.34
  5. Step 5: Solve for x
    x = 27,631,706,152.34/242,241
  6. Step 6: Final answer
    x = 114,067.01

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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.