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Finding the Fourth Proportional to 189,641.83, 284,504.32 and 71,313.13

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Solution

The fourth proportional to 189,641.83, 284,504.32 and 71,313.13 is: 106,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,641.83 : 284,504.32 = 71,313.13 : x
  2. Step 2: Convert to fraction form
    189,641.83/284,504.32 = 71,313.13/x
  3. Step 3: Cross multiply
    189,641.83x = 284,504.32 × 71,313.13
  4. Step 4: Simplify right side
    189,641.83x = 20,288,895,003.23
  5. Step 5: Solve for x
    x = 20,288,895,003.23/189,641.83
  6. Step 6: Final answer
    x = 106,985.34

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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.