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Finding the Fourth Proportional to 143,341.32, 197,813.38 and 78,813.28

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Solution

The fourth proportional to 143,341.32, 197,813.38 and 78,813.28 is: 108,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,341.32 : 197,813.38 = 78,813.28 : x
  2. Step 2: Convert to fraction form
    143,341.32/197,813.38 = 78,813.28/x
  3. Step 3: Cross multiply
    143,341.32x = 197,813.38 × 78,813.28
  4. Step 4: Simplify right side
    143,341.32x = 15,590,321,305.69
  5. Step 5: Solve for x
    x = 15,590,321,305.69/143,341.32
  6. Step 6: Final answer
    x = 108,763.62

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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.