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Finding the Fourth Proportional to 177,157, 244,476.66 and 97,669

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Solution

The fourth proportional to 177,157, 244,476.66 and 97,669 is: 134,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,157 : 244,476.66 = 97,669 : x
  2. Step 2: Convert to fraction form
    177,157/244,476.66 = 97,669/x
  3. Step 3: Cross multiply
    177,157x = 244,476.66 × 97,669
  4. Step 4: Simplify right side
    177,157x = 23,877,790,905.54
  5. Step 5: Solve for x
    x = 23,877,790,905.54/177,157
  6. Step 6: Final answer
    x = 134,783.22

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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.