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Finding the Fourth Proportional to 193,333.56, 290,050.56 and 60,216

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Solution

The fourth proportional to 193,333.56, 290,050.56 and 60,216 is: 90,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,333.56 : 290,050.56 = 60,216 : x
  2. Step 2: Convert to fraction form
    193,333.56/290,050.56 = 60,216/x
  3. Step 3: Cross multiply
    193,333.56x = 290,050.56 × 60,216
  4. Step 4: Simplify right side
    193,333.56x = 17,465,684,520.96
  5. Step 5: Solve for x
    x = 17,465,684,520.96/193,333.56
  6. Step 6: Final answer
    x = 90,339.64

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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.