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Finding the Fourth Proportional to 209,889.96, 314,927.87 and 110,026.41

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Solution

The fourth proportional to 209,889.96, 314,927.87 and 110,026.41 is: 165,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,889.96 : 314,927.87 = 110,026.41 : x
  2. Step 2: Convert to fraction form
    209,889.96/314,927.87 = 110,026.41/x
  3. Step 3: Cross multiply
    209,889.96x = 314,927.87 × 110,026.41
  4. Step 4: Simplify right side
    209,889.96x = 34,650,382,394.91
  5. Step 5: Solve for x
    x = 34,650,382,394.91/209,889.96
  6. Step 6: Final answer
    x = 165,088.33

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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.