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Finding the Fourth Proportional to 183,909.39, 275,970.72 and 77,284.95

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Solution

The fourth proportional to 183,909.39, 275,970.72 and 77,284.95 is: 115,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,909.39 : 275,970.72 = 77,284.95 : x
  2. Step 2: Convert to fraction form
    183,909.39/275,970.72 = 77,284.95/x
  3. Step 3: Cross multiply
    183,909.39x = 275,970.72 × 77,284.95
  4. Step 4: Simplify right side
    183,909.39x = 21,328,383,296.66
  5. Step 5: Solve for x
    x = 21,328,383,296.66/183,909.39
  6. Step 6: Final answer
    x = 115,972.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.