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Finding the Fourth Proportional to 281,146, 421,777.36 and 114,934

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Solution

The fourth proportional to 281,146, 421,777.36 and 114,934 is: 172,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,146 : 421,777.36 = 114,934 : x
  2. Step 2: Convert to fraction form
    281,146/421,777.36 = 114,934/x
  3. Step 3: Cross multiply
    281,146x = 421,777.36 × 114,934
  4. Step 4: Simplify right side
    281,146x = 48,476,559,094.24
  5. Step 5: Solve for x
    x = 48,476,559,094.24/281,146
  6. Step 6: Final answer
    x = 172,424.86

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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.