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Finding the Fourth Proportional to 177,016, 244,292.16 and 133,330.24

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Solution

The fourth proportional to 177,016, 244,292.16 and 133,330.24 is: 184,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,016 : 244,292.16 = 133,330.24 : x
  2. Step 2: Convert to fraction form
    177,016/244,292.16 = 133,330.24/x
  3. Step 3: Cross multiply
    177,016x = 244,292.16 × 133,330.24
  4. Step 4: Simplify right side
    177,016x = 32,571,532,322.92
  5. Step 5: Solve for x
    x = 32,571,532,322.92/177,016
  6. Step 6: Final answer
    x = 184,003.32

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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.