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Finding the Fourth Proportional to 152,893.20, 211,023.66 and 88,365.20

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Solution

The fourth proportional to 152,893.20, 211,023.66 and 88,365.20 is: 121,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,893.20 : 211,023.66 = 88,365.20 : x
  2. Step 2: Convert to fraction form
    152,893.20/211,023.66 = 88,365.20/x
  3. Step 3: Cross multiply
    152,893.20x = 211,023.66 × 88,365.20
  4. Step 4: Simplify right side
    152,893.20x = 18,647,147,920.63
  5. Step 5: Solve for x
    x = 18,647,147,920.63/152,893.20
  6. Step 6: Final answer
    x = 121,961.92

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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.