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Finding the Fourth Proportional to 189,555.20, 284,327.29 and 77,207.64

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Solution

The fourth proportional to 189,555.20, 284,327.29 and 77,207.64 is: 115,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,555.20 : 284,327.29 = 77,207.64 : x
  2. Step 2: Convert to fraction form
    189,555.20/284,327.29 = 77,207.64/x
  3. Step 3: Cross multiply
    189,555.20x = 284,327.29 × 77,207.64
  4. Step 4: Simplify right side
    189,555.20x = 21,952,239,048.50
  5. Step 5: Solve for x
    x = 21,952,239,048.50/189,555.20
  6. Step 6: Final answer
    x = 115,809.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.