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Finding the Fourth Proportional to 149,278.40, 206,005.92 and 85,616

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Solution

The fourth proportional to 149,278.40, 206,005.92 and 85,616 is: 118,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,278.40 : 206,005.92 = 85,616 : x
  2. Step 2: Convert to fraction form
    149,278.40/206,005.92 = 85,616/x
  3. Step 3: Cross multiply
    149,278.40x = 206,005.92 × 85,616
  4. Step 4: Simplify right side
    149,278.40x = 17,637,402,846.72
  5. Step 5: Solve for x
    x = 17,637,402,846.72/149,278.40
  6. Step 6: Final answer
    x = 118,151.07

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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.