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Finding the Fourth Proportional to 133,210.65, 199,811.34 and 33,371.70

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Solution

The fourth proportional to 133,210.65, 199,811.34 and 33,371.70 is: 50,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,210.65 : 199,811.34 = 33,371.70 : x
  2. Step 2: Convert to fraction form
    133,210.65/199,811.34 = 33,371.70/x
  3. Step 3: Cross multiply
    133,210.65x = 199,811.34 × 33,371.70
  4. Step 4: Simplify right side
    133,210.65x = 6,668,044,095.08
  5. Step 5: Solve for x
    x = 6,668,044,095.08/133,210.65
  6. Step 6: Final answer
    x = 50,056.39

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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.