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Finding the Fourth Proportional to 270,724.80, 373,594.76 and 149,866

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Solution

The fourth proportional to 270,724.80, 373,594.76 and 149,866 is: 206,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,724.80 : 373,594.76 = 149,866 : x
  2. Step 2: Convert to fraction form
    270,724.80/373,594.76 = 149,866/x
  3. Step 3: Cross multiply
    270,724.80x = 373,594.76 × 149,866
  4. Step 4: Simplify right side
    270,724.80x = 55,989,152,302.16
  5. Step 5: Solve for x
    x = 55,989,152,302.16/270,724.80
  6. Step 6: Final answer
    x = 206,812.06

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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.