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Finding the Fourth Proportional to 209,873.66, 314,903.23 and 110,009.97

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Solution

The fourth proportional to 209,873.66, 314,903.23 and 110,009.97 is: 165,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,873.66 : 314,903.23 = 110,009.97 : x
  2. Step 2: Convert to fraction form
    209,873.66/314,903.23 = 110,009.97/x
  3. Step 3: Cross multiply
    209,873.66x = 314,903.23 × 110,009.97
  4. Step 4: Simplify right side
    209,873.66x = 34,642,494,885.20
  5. Step 5: Solve for x
    x = 34,642,494,885.20/209,873.66
  6. Step 6: Final answer
    x = 165,063.57

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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.