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Finding the Fourth Proportional to 164,047.12, 226,384 and 92,450.12

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Solution

The fourth proportional to 164,047.12, 226,384 and 92,450.12 is: 127,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047.12 : 226,384 = 92,450.12 : x
  2. Step 2: Convert to fraction form
    164,047.12/226,384 = 92,450.12/x
  3. Step 3: Cross multiply
    164,047.12x = 226,384 × 92,450.12
  4. Step 4: Simplify right side
    164,047.12x = 20,929,227,966.08
  5. Step 5: Solve for x
    x = 20,929,227,966.08/164,047.12
  6. Step 6: Final answer
    x = 127,580.59

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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.