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Finding the Fourth Proportional to 187,413, 281,148.72 and 61,023.39

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Solution

The fourth proportional to 187,413, 281,148.72 and 61,023.39 is: 91,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,413 : 281,148.72 = 61,023.39 : x
  2. Step 2: Convert to fraction form
    187,413/281,148.72 = 61,023.39/x
  3. Step 3: Cross multiply
    187,413x = 281,148.72 × 61,023.39
  4. Step 4: Simplify right side
    187,413x = 17,156,647,988.56
  5. Step 5: Solve for x
    x = 17,156,647,988.56/187,413
  6. Step 6: Final answer
    x = 91,544.60

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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.