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Finding the Fourth Proportional to 279,714.51, 386,055.99 and 164,986.11

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Solution

The fourth proportional to 279,714.51, 386,055.99 and 164,986.11 is: 227,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,714.51 : 386,055.99 = 164,986.11 : x
  2. Step 2: Convert to fraction form
    279,714.51/386,055.99 = 164,986.11/x
  3. Step 3: Cross multiply
    279,714.51x = 386,055.99 × 164,986.11
  4. Step 4: Simplify right side
    279,714.51x = 63,693,876,032.30
  5. Step 5: Solve for x
    x = 63,693,876,032.30/279,714.51
  6. Step 6: Final answer
    x = 227,710.30

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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.