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Finding the Fourth Proportional to 151,895, 209,614.22 and 83,916.66

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Solution

The fourth proportional to 151,895, 209,614.22 and 83,916.66 is: 115,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,895 : 209,614.22 = 83,916.66 : x
  2. Step 2: Convert to fraction form
    151,895/209,614.22 = 83,916.66/x
  3. Step 3: Cross multiply
    151,895x = 209,614.22 × 83,916.66
  4. Step 4: Simplify right side
    151,895x = 17,590,125,230.91
  5. Step 5: Solve for x
    x = 17,590,125,230.91/151,895
  6. Step 6: Final answer
    x = 115,804.50

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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.