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Finding the Fourth Proportional to 269,196, 371,498.16 and 149,971.68

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Solution

The fourth proportional to 269,196, 371,498.16 and 149,971.68 is: 206,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,196 : 371,498.16 = 149,971.68 : x
  2. Step 2: Convert to fraction form
    269,196/371,498.16 = 149,971.68/x
  3. Step 3: Cross multiply
    269,196x = 371,498.16 × 149,971.68
  4. Step 4: Simplify right side
    269,196x = 55,714,203,172.11
  5. Step 5: Solve for x
    x = 55,714,203,172.11/269,196
  6. Step 6: Final answer
    x = 206,965.20

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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.