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Finding the Fourth Proportional to 189,119.52, 283,723.29 and 64,460.52

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Solution

The fourth proportional to 189,119.52, 283,723.29 and 64,460.52 is: 96,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,119.52 : 283,723.29 = 64,460.52 : x
  2. Step 2: Convert to fraction form
    189,119.52/283,723.29 = 64,460.52/x
  3. Step 3: Cross multiply
    189,119.52x = 283,723.29 × 64,460.52
  4. Step 4: Simplify right side
    189,119.52x = 18,288,950,809.51
  5. Step 5: Solve for x
    x = 18,288,950,809.51/189,119.52
  6. Step 6: Final answer
    x = 96,705.78

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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.