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Finding the Fourth Proportional to 229,039.55, 315,867.49 and 143,006.30

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Solution

The fourth proportional to 229,039.55, 315,867.49 and 143,006.30 is: 197,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,039.55 : 315,867.49 = 143,006.30 : x
  2. Step 2: Convert to fraction form
    229,039.55/315,867.49 = 143,006.30/x
  3. Step 3: Cross multiply
    229,039.55x = 315,867.49 × 143,006.30
  4. Step 4: Simplify right side
    229,039.55x = 45,171,041,035.19
  5. Step 5: Solve for x
    x = 45,171,041,035.19/229,039.55
  6. Step 6: Final answer
    x = 197,219.39

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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.