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Finding the Fourth Proportional to 110,323, 152,245.74 and 60,022.36

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Solution

The fourth proportional to 110,323, 152,245.74 and 60,022.36 is: 82,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,323 : 152,245.74 = 60,022.36 : x
  2. Step 2: Convert to fraction form
    110,323/152,245.74 = 60,022.36/x
  3. Step 3: Cross multiply
    110,323x = 152,245.74 × 60,022.36
  4. Step 4: Simplify right side
    110,323x = 9,138,148,614.75
  5. Step 5: Solve for x
    x = 9,138,148,614.75/110,323
  6. Step 6: Final answer
    x = 82,830.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.