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Finding the Fourth Proportional to 240,564.50, 360,780.96 and 133,816.94

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Solution

The fourth proportional to 240,564.50, 360,780.96 and 133,816.94 is: 200,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,564.50 : 360,780.96 = 133,816.94 : x
  2. Step 2: Convert to fraction form
    240,564.50/360,780.96 = 133,816.94/x
  3. Step 3: Cross multiply
    240,564.50x = 360,780.96 × 133,816.94
  4. Step 4: Simplify right side
    240,564.50x = 48,278,604,077.46
  5. Step 5: Solve for x
    x = 48,278,604,077.46/240,564.50
  6. Step 6: Final answer
    x = 200,688.81

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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.