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Finding the Fourth Proportional to 177,195.78, 265,569.30 and 77,329.26

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Solution

The fourth proportional to 177,195.78, 265,569.30 and 77,329.26 is: 115,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,195.78 : 265,569.30 = 77,329.26 : x
  2. Step 2: Convert to fraction form
    177,195.78/265,569.30 = 77,329.26/x
  3. Step 3: Cross multiply
    177,195.78x = 265,569.30 × 77,329.26
  4. Step 4: Simplify right side
    177,195.78x = 20,536,277,447.72
  5. Step 5: Solve for x
    x = 20,536,277,447.72/177,195.78
  6. Step 6: Final answer
    x = 115,895.97

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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.