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Finding the Fourth Proportional to 96,229.71, 144,362.79 and 43,643.34

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Solution

The fourth proportional to 96,229.71, 144,362.79 and 43,643.34 is: 65,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,229.71 : 144,362.79 = 43,643.34 : x
  2. Step 2: Convert to fraction form
    96,229.71/144,362.79 = 43,643.34/x
  3. Step 3: Cross multiply
    96,229.71x = 144,362.79 × 43,643.34
  4. Step 4: Simplify right side
    96,229.71x = 6,300,474,327.32
  5. Step 5: Solve for x
    x = 6,300,474,327.32/96,229.71
  6. Step 6: Final answer
    x = 65,473.28

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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.