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Finding the Fourth Proportional to 114,189.40, 171,054.46 and 64,194.58

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Solution

The fourth proportional to 114,189.40, 171,054.46 and 64,194.58 is: 96,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,189.40 : 171,054.46 = 64,194.58 : x
  2. Step 2: Convert to fraction form
    114,189.40/171,054.46 = 64,194.58/x
  3. Step 3: Cross multiply
    114,189.40x = 171,054.46 × 64,194.58
  4. Step 4: Simplify right side
    114,189.40x = 10,980,769,216.83
  5. Step 5: Solve for x
    x = 10,980,769,216.83/114,189.40
  6. Step 6: Final answer
    x = 96,162.77

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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.