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Finding the Fourth Proportional to 183,865.47, 275,908.35 and 78,684.54

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Solution

The fourth proportional to 183,865.47, 275,908.35 and 78,684.54 is: 118,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,865.47 : 275,908.35 = 78,684.54 : x
  2. Step 2: Convert to fraction form
    183,865.47/275,908.35 = 78,684.54/x
  3. Step 3: Cross multiply
    183,865.47x = 275,908.35 × 78,684.54
  4. Step 4: Simplify right side
    183,865.47x = 21,709,721,601.91
  5. Step 5: Solve for x
    x = 21,709,721,601.91/183,865.47
  6. Step 6: Final answer
    x = 118,073.95

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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.