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Finding the Fourth Proportional to 168,782.83, 232,978.96 and 97,191.39

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Solution

The fourth proportional to 168,782.83, 232,978.96 and 97,191.39 is: 134,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,782.83 : 232,978.96 = 97,191.39 : x
  2. Step 2: Convert to fraction form
    168,782.83/232,978.96 = 97,191.39/x
  3. Step 3: Cross multiply
    168,782.83x = 232,978.96 × 97,191.39
  4. Step 4: Simplify right side
    168,782.83x = 22,643,548,963.15
  5. Step 5: Solve for x
    x = 22,643,548,963.15/168,782.83
  6. Step 6: Final answer
    x = 134,157.89

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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.