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Finding the Fourth Proportional to 151,449.15, 209,001.24 and 83,468.55

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Solution

The fourth proportional to 151,449.15, 209,001.24 and 83,468.55 is: 115,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,449.15 : 209,001.24 = 83,468.55 : x
  2. Step 2: Convert to fraction form
    151,449.15/209,001.24 = 83,468.55/x
  3. Step 3: Cross multiply
    151,449.15x = 209,001.24 × 83,468.55
  4. Step 4: Simplify right side
    151,449.15x = 17,445,030,451.00
  5. Step 5: Solve for x
    x = 17,445,030,451.00/151,449.15
  6. Step 6: Final answer
    x = 115,187.38

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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.