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Finding the Fourth Proportional to 151,701, 227,551.50 and 40,893

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Solution

The fourth proportional to 151,701, 227,551.50 and 40,893 is: 61,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,701 : 227,551.50 = 40,893 : x
  2. Step 2: Convert to fraction form
    151,701/227,551.50 = 40,893/x
  3. Step 3: Cross multiply
    151,701x = 227,551.50 × 40,893
  4. Step 4: Simplify right side
    151,701x = 9,305,263,489.50
  5. Step 5: Solve for x
    x = 9,305,263,489.50/151,701
  6. Step 6: Final answer
    x = 61,339.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.