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Finding the Fourth Proportional to 177,396, 244,806.80 and 97,908

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Solution

The fourth proportional to 177,396, 244,806.80 and 97,908 is: 135,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,396 : 244,806.80 = 97,908 : x
  2. Step 2: Convert to fraction form
    177,396/244,806.80 = 97,908/x
  3. Step 3: Cross multiply
    177,396x = 244,806.80 × 97,908
  4. Step 4: Simplify right side
    177,396x = 23,968,544,174.40
  5. Step 5: Solve for x
    x = 23,968,544,174.40/177,396
  6. Step 6: Final answer
    x = 135,113.22

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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.