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Finding the Fourth Proportional to 174,412.82, 240,681.26 and 97,922.49

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Solution

The fourth proportional to 174,412.82, 240,681.26 and 97,922.49 is: 135,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,412.82 : 240,681.26 = 97,922.49 : x
  2. Step 2: Convert to fraction form
    174,412.82/240,681.26 = 97,922.49/x
  3. Step 3: Cross multiply
    174,412.82x = 240,681.26 × 97,922.49
  4. Step 4: Simplify right side
    174,412.82x = 23,568,107,785.93
  5. Step 5: Solve for x
    x = 23,568,107,785.93/174,412.82
  6. Step 6: Final answer
    x = 135,128.30

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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.