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Finding the Fourth Proportional to 159,241.32, 238,811.28 and 52,605.48

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Solution

The fourth proportional to 159,241.32, 238,811.28 and 52,605.48 is: 78,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,241.32 : 238,811.28 = 52,605.48 : x
  2. Step 2: Convert to fraction form
    159,241.32/238,811.28 = 52,605.48/x
  3. Step 3: Cross multiply
    159,241.32x = 238,811.28 × 52,605.48
  4. Step 4: Simplify right side
    159,241.32x = 12,562,782,013.81
  5. Step 5: Solve for x
    x = 12,562,782,013.81/159,241.32
  6. Step 6: Final answer
    x = 78,891.47

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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.