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Finding the Fourth Proportional to 223,867.84, 308,959.40 and 167,180.80

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Solution

The fourth proportional to 223,867.84, 308,959.40 and 167,180.80 is: 230,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,867.84 : 308,959.40 = 167,180.80 : x
  2. Step 2: Convert to fraction form
    223,867.84/308,959.40 = 167,180.80/x
  3. Step 3: Cross multiply
    223,867.84x = 308,959.40 × 167,180.80
  4. Step 4: Simplify right side
    223,867.84x = 51,652,079,659.52
  5. Step 5: Solve for x
    x = 51,652,079,659.52/223,867.84
  6. Step 6: Final answer
    x = 230,725.77

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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.