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Finding the Fourth Proportional to 151,775.22, 209,456.81 and 83,801.84

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Solution

The fourth proportional to 151,775.22, 209,456.81 and 83,801.84 is: 115,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,775.22 : 209,456.81 = 83,801.84 : x
  2. Step 2: Convert to fraction form
    151,775.22/209,456.81 = 83,801.84/x
  3. Step 3: Cross multiply
    151,775.22x = 209,456.81 × 83,801.84
  4. Step 4: Simplify right side
    151,775.22x = 17,552,866,340.38
  5. Step 5: Solve for x
    x = 17,552,866,340.38/151,775.22
  6. Step 6: Final answer
    x = 115,650.41

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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.