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Finding the Fourth Proportional to 151,564.83, 209,154.96 and 83,581.80

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Solution

The fourth proportional to 151,564.83, 209,154.96 and 83,581.80 is: 115,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,564.83 : 209,154.96 = 83,581.80 : x
  2. Step 2: Convert to fraction form
    151,564.83/209,154.96 = 83,581.80/x
  3. Step 3: Cross multiply
    151,564.83x = 209,154.96 × 83,581.80
  4. Step 4: Simplify right side
    151,564.83x = 17,481,548,035.73
  5. Step 5: Solve for x
    x = 17,481,548,035.73/151,564.83
  6. Step 6: Final answer
    x = 115,340.40

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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.