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Finding the Fourth Proportional to 338,102.25, 466,581.11 and 187,208.97

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Solution

The fourth proportional to 338,102.25, 466,581.11 and 187,208.97 is: 258,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,102.25 : 466,581.11 = 187,208.97 : x
  2. Step 2: Convert to fraction form
    338,102.25/466,581.11 = 187,208.97/x
  3. Step 3: Cross multiply
    338,102.25x = 466,581.11 × 187,208.97
  4. Step 4: Simplify right side
    338,102.25x = 87,348,168,088.51
  5. Step 5: Solve for x
    x = 87,348,168,088.51/338,102.25
  6. Step 6: Final answer
    x = 258,348.38

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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.