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Finding the Fourth Proportional to 133,853.45, 200,723.06 and 70,633.76

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Solution

The fourth proportional to 133,853.45, 200,723.06 and 70,633.76 is: 105,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,853.45 : 200,723.06 = 70,633.76 : x
  2. Step 2: Convert to fraction form
    133,853.45/200,723.06 = 70,633.76/x
  3. Step 3: Cross multiply
    133,853.45x = 200,723.06 × 70,633.76
  4. Step 4: Simplify right side
    133,853.45x = 14,177,823,619.47
  5. Step 5: Solve for x
    x = 14,177,823,619.47/133,853.45
  6. Step 6: Final answer
    x = 105,920.50

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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.