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Finding the Fourth Proportional to 169,189.94, 233,471.25 and 92,708.12

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Solution

The fourth proportional to 169,189.94, 233,471.25 and 92,708.12 is: 127,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,189.94 : 233,471.25 = 92,708.12 : x
  2. Step 2: Convert to fraction form
    169,189.94/233,471.25 = 92,708.12/x
  3. Step 3: Cross multiply
    169,189.94x = 233,471.25 × 92,708.12
  4. Step 4: Simplify right side
    169,189.94x = 21,644,679,494.19
  5. Step 5: Solve for x
    x = 21,644,679,494.19/169,189.94
  6. Step 6: Final answer
    x = 127,931.25

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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.