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Finding the Fourth Proportional to 151,593, 209,195.51 and 83,616.32

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Solution

The fourth proportional to 151,593, 209,195.51 and 83,616.32 is: 115,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,593 : 209,195.51 = 83,616.32 : x
  2. Step 2: Convert to fraction form
    151,593/209,195.51 = 83,616.32/x
  3. Step 3: Cross multiply
    151,593x = 209,195.51 × 83,616.32
  4. Step 4: Simplify right side
    151,593x = 17,492,157,242.66
  5. Step 5: Solve for x
    x = 17,492,157,242.66/151,593
  6. Step 6: Final answer
    x = 115,388.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.