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Finding the Fourth Proportional to 177,243.68, 244,677.84 and 152,948

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Solution

The fourth proportional to 177,243.68, 244,677.84 and 152,948 is: 211,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,243.68 : 244,677.84 = 152,948 : x
  2. Step 2: Convert to fraction form
    177,243.68/244,677.84 = 152,948/x
  3. Step 3: Cross multiply
    177,243.68x = 244,677.84 × 152,948
  4. Step 4: Simplify right side
    177,243.68x = 37,422,986,272.32
  5. Step 5: Solve for x
    x = 37,422,986,272.32/177,243.68
  6. Step 6: Final answer
    x = 211,138.62

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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.