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Finding the Fourth Proportional to 177,433, 244,857.70 and 97,945

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Solution

The fourth proportional to 177,433, 244,857.70 and 97,945 is: 135,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,433 : 244,857.70 = 97,945 : x
  2. Step 2: Convert to fraction form
    177,433/244,857.70 = 97,945/x
  3. Step 3: Cross multiply
    177,433x = 244,857.70 × 97,945
  4. Step 4: Simplify right side
    177,433x = 23,982,587,426.50
  5. Step 5: Solve for x
    x = 23,982,587,426.50/177,433
  6. Step 6: Final answer
    x = 135,164.19

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1.5x scale

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.