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Finding the Fourth Proportional to 151,558.70, 209,151.99 and 83,578.23

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Solution

The fourth proportional to 151,558.70, 209,151.99 and 83,578.23 is: 115,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,558.70 : 209,151.99 = 83,578.23 : x
  2. Step 2: Convert to fraction form
    151,558.70/209,151.99 = 83,578.23/x
  3. Step 3: Cross multiply
    151,558.70x = 209,151.99 × 83,578.23
  4. Step 4: Simplify right side
    151,558.70x = 17,480,553,125.18
  5. Step 5: Solve for x
    x = 17,480,553,125.18/151,558.70
  6. Step 6: Final answer
    x = 115,338.50

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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.