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Finding the Fourth Proportional to 193,314.51, 266,773.46 and 107,286.47

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Solution

The fourth proportional to 193,314.51, 266,773.46 and 107,286.47 is: 148,055.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,314.51 : 266,773.46 = 107,286.47 : x
  2. Step 2: Convert to fraction form
    193,314.51/266,773.46 = 107,286.47/x
  3. Step 3: Cross multiply
    193,314.51x = 266,773.46 × 107,286.47
  4. Step 4: Simplify right side
    193,314.51x = 28,621,182,813.09
  5. Step 5: Solve for x
    x = 28,621,182,813.09/193,314.51
  6. Step 6: Final answer
    x = 148,055.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.