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Finding the Fourth Proportional to 151,266, 227,002.68 and 52,770

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Solution

The fourth proportional to 151,266, 227,002.68 and 52,770 is: 79,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,266 : 227,002.68 = 52,770 : x
  2. Step 2: Convert to fraction form
    151,266/227,002.68 = 52,770/x
  3. Step 3: Cross multiply
    151,266x = 227,002.68 × 52,770
  4. Step 4: Simplify right side
    151,266x = 11,978,931,423.60
  5. Step 5: Solve for x
    x = 11,978,931,423.60/151,266
  6. Step 6: Final answer
    x = 79,191.17

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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.