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Finding the Fourth Proportional to 164,796.30, 227,385.36 and 96,824.34

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Solution

The fourth proportional to 164,796.30, 227,385.36 and 96,824.34 is: 133,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,796.30 : 227,385.36 = 96,824.34 : x
  2. Step 2: Convert to fraction form
    164,796.30/227,385.36 = 96,824.34/x
  3. Step 3: Cross multiply
    164,796.30x = 227,385.36 × 96,824.34
  4. Step 4: Simplify right side
    164,796.30x = 22,016,437,407.66
  5. Step 5: Solve for x
    x = 22,016,437,407.66/164,796.30
  6. Step 6: Final answer
    x = 133,597.89

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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.