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Finding the Fourth Proportional to 225,092.25, 310,633.07 and 135,674.01

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Solution

The fourth proportional to 225,092.25, 310,633.07 and 135,674.01 is: 187,233.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,092.25 : 310,633.07 = 135,674.01 : x
  2. Step 2: Convert to fraction form
    225,092.25/310,633.07 = 135,674.01/x
  3. Step 3: Cross multiply
    225,092.25x = 310,633.07 × 135,674.01
  4. Step 4: Simplify right side
    225,092.25x = 42,144,833,567.14
  5. Step 5: Solve for x
    x = 42,144,833,567.14/225,092.25
  6. Step 6: Final answer
    x = 187,233.61

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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.