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Finding the Fourth Proportional to 296,993.74, 409,851.14 and 161,032.20

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Solution

The fourth proportional to 296,993.74, 409,851.14 and 161,032.20 is: 222,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,993.74 : 409,851.14 = 161,032.20 : x
  2. Step 2: Convert to fraction form
    296,993.74/409,851.14 = 161,032.20/x
  3. Step 3: Cross multiply
    296,993.74x = 409,851.14 × 161,032.20
  4. Step 4: Simplify right side
    296,993.74x = 65,999,230,746.71
  5. Step 5: Solve for x
    x = 65,999,230,746.71/296,993.74
  6. Step 6: Final answer
    x = 222,224.32

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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.