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Finding the Fourth Proportional to 126,164, 189,246 and 70,764.32

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Solution

The fourth proportional to 126,164, 189,246 and 70,764.32 is: 106,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,164 : 189,246 = 70,764.32 : x
  2. Step 2: Convert to fraction form
    126,164/189,246 = 70,764.32/x
  3. Step 3: Cross multiply
    126,164x = 189,246 × 70,764.32
  4. Step 4: Simplify right side
    126,164x = 13,391,864,502.72
  5. Step 5: Solve for x
    x = 13,391,864,502.72/126,164
  6. Step 6: Final answer
    x = 106,146.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.