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Finding the Fourth Proportional to 164,912.55, 227,575.12 and 92,316.30

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Solution

The fourth proportional to 164,912.55, 227,575.12 and 92,316.30 is: 127,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,912.55 : 227,575.12 = 92,316.30 : x
  2. Step 2: Convert to fraction form
    164,912.55/227,575.12 = 92,316.30/x
  3. Step 3: Cross multiply
    164,912.55x = 227,575.12 × 92,316.30
  4. Step 4: Simplify right side
    164,912.55x = 21,008,893,050.46
  5. Step 5: Solve for x
    x = 21,008,893,050.46/164,912.55
  6. Step 6: Final answer
    x = 127,394.14

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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.