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Finding the Fourth Proportional to 228,817, 342,825.18 and 158,740.84

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Solution

The fourth proportional to 228,817, 342,825.18 and 158,740.84 is: 237,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,817 : 342,825.18 = 158,740.84 : x
  2. Step 2: Convert to fraction form
    228,817/342,825.18 = 158,740.84/x
  3. Step 3: Cross multiply
    228,817x = 342,825.18 × 158,740.84
  4. Step 4: Simplify right side
    228,817x = 54,420,357,046.35
  5. Step 5: Solve for x
    x = 54,420,357,046.35/228,817
  6. Step 6: Final answer
    x = 237,833.54

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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.