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Finding the Fourth Proportional to 224,451.81, 336,666.78 and 84,199.50

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Solution

The fourth proportional to 224,451.81, 336,666.78 and 84,199.50 is: 126,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,451.81 : 336,666.78 = 84,199.50 : x
  2. Step 2: Convert to fraction form
    224,451.81/336,666.78 = 84,199.50/x
  3. Step 3: Cross multiply
    224,451.81x = 336,666.78 × 84,199.50
  4. Step 4: Simplify right side
    224,451.81x = 28,347,174,542.61
  5. Step 5: Solve for x
    x = 28,347,174,542.61/224,451.81
  6. Step 6: Final answer
    x = 126,295.15

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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.