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Finding the Fourth Proportional to 177,194, 244,527.72 and 97,706

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Solution

The fourth proportional to 177,194, 244,527.72 and 97,706 is: 134,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,194 : 244,527.72 = 97,706 : x
  2. Step 2: Convert to fraction form
    177,194/244,527.72 = 97,706/x
  3. Step 3: Cross multiply
    177,194x = 244,527.72 × 97,706
  4. Step 4: Simplify right side
    177,194x = 23,891,825,410.32
  5. Step 5: Solve for x
    x = 23,891,825,410.32/177,194
  6. Step 6: Final answer
    x = 134,834.28

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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.