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Finding the Fourth Proportional to 224,430.08, 309,433.38 and 143,724.92

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Solution

The fourth proportional to 224,430.08, 309,433.38 and 143,724.92 is: 198,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430.08 : 309,433.38 = 143,724.92 : x
  2. Step 2: Convert to fraction form
    224,430.08/309,433.38 = 143,724.92/x
  3. Step 3: Cross multiply
    224,430.08x = 309,433.38 × 143,724.92
  4. Step 4: Simplify right side
    224,430.08x = 44,473,287,785.83
  5. Step 5: Solve for x
    x = 44,473,287,785.83/224,430.08
  6. Step 6: Final answer
    x = 198,160.99

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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.