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Finding the Fourth Proportional to 106,203.34, 159,230.12 and 43,004.82

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Solution

The fourth proportional to 106,203.34, 159,230.12 and 43,004.82 is: 64,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,203.34 : 159,230.12 = 43,004.82 : x
  2. Step 2: Convert to fraction form
    106,203.34/159,230.12 = 43,004.82/x
  3. Step 3: Cross multiply
    106,203.34x = 159,230.12 × 43,004.82
  4. Step 4: Simplify right side
    106,203.34x = 6,847,662,649.18
  5. Step 5: Solve for x
    x = 6,847,662,649.18/106,203.34
  6. Step 6: Final answer
    x = 64,476.90

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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.