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Finding the Fourth Proportional to 133,557.84, 200,536.56 and 83,952.72

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Solution

The fourth proportional to 133,557.84, 200,536.56 and 83,952.72 is: 126,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,557.84 : 200,536.56 = 83,952.72 : x
  2. Step 2: Convert to fraction form
    133,557.84/200,536.56 = 83,952.72/x
  3. Step 3: Cross multiply
    133,557.84x = 200,536.56 × 83,952.72
  4. Step 4: Simplify right side
    133,557.84x = 16,835,589,671.44
  5. Step 5: Solve for x
    x = 16,835,589,671.44/133,557.84
  6. Step 6: Final answer
    x = 126,054.67

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Why These Related Problems?

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