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Finding the Fourth Proportional to 151,578.36, 209,175.38 and 83,601.63

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Solution

The fourth proportional to 151,578.36, 209,175.38 and 83,601.63 is: 115,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,578.36 : 209,175.38 = 83,601.63 : x
  2. Step 2: Convert to fraction form
    151,578.36/209,175.38 = 83,601.63/x
  3. Step 3: Cross multiply
    151,578.36x = 209,175.38 × 83,601.63
  4. Step 4: Simplify right side
    151,578.36x = 17,487,402,305.86
  5. Step 5: Solve for x
    x = 17,487,402,305.86/151,578.36
  6. Step 6: Final answer
    x = 115,368.73

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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.