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Finding the Fourth Proportional to 225,570.90, 338,322.93 and 136,800.57

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Solution

The fourth proportional to 225,570.90, 338,322.93 and 136,800.57 is: 205,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,570.90 : 338,322.93 = 136,800.57 : x
  2. Step 2: Convert to fraction form
    225,570.90/338,322.93 = 136,800.57/x
  3. Step 3: Cross multiply
    225,570.90x = 338,322.93 × 136,800.57
  4. Step 4: Simplify right side
    225,570.90x = 46,282,769,668.07
  5. Step 5: Solve for x
    x = 46,282,769,668.07/225,570.90
  6. Step 6: Final answer
    x = 205,180.59

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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.