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Finding the Fourth Proportional to 151,808.58, 209,497.56 and 83,825.46

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Solution

The fourth proportional to 151,808.58, 209,497.56 and 83,825.46 is: 115,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,808.58 : 209,497.56 = 83,825.46 : x
  2. Step 2: Convert to fraction form
    151,808.58/209,497.56 = 83,825.46/x
  3. Step 3: Cross multiply
    151,808.58x = 209,497.56 × 83,825.46
  4. Step 4: Simplify right side
    151,808.58x = 17,561,229,335.88
  5. Step 5: Solve for x
    x = 17,561,229,335.88/151,808.58
  6. Step 6: Final answer
    x = 115,680.08

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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.