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Finding the Fourth Proportional to 209,872.66, 314,901.73 and 110,008.97

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Solution

The fourth proportional to 209,872.66, 314,901.73 and 110,008.97 is: 165,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.66 : 314,901.73 = 110,008.97 : x
  2. Step 2: Convert to fraction form
    209,872.66/314,901.73 = 110,008.97/x
  3. Step 3: Cross multiply
    209,872.66x = 314,901.73 × 110,008.97
  4. Step 4: Simplify right side
    209,872.66x = 34,642,014,968.52
  5. Step 5: Solve for x
    x = 34,642,014,968.52/209,872.66
  6. Step 6: Final answer
    x = 165,062.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.