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Finding the Fourth Proportional to 224,370.81, 309,456.63 and 143,806.05

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Solution

The fourth proportional to 224,370.81, 309,456.63 and 143,806.05 is: 198,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,370.81 : 309,456.63 = 143,806.05 : x
  2. Step 2: Convert to fraction form
    224,370.81/309,456.63 = 143,806.05/x
  3. Step 3: Cross multiply
    224,370.81x = 309,456.63 × 143,806.05
  4. Step 4: Simplify right side
    224,370.81x = 44,501,735,606.61
  5. Step 5: Solve for x
    x = 44,501,735,606.61/224,370.81
  6. Step 6: Final answer
    x = 198,340.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.