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Finding the Fourth Proportional to 209,866.64, 314,892.94 and 110,003.10

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Solution

The fourth proportional to 209,866.64, 314,892.94 and 110,003.10 is: 165,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,866.64 : 314,892.94 = 110,003.10 : x
  2. Step 2: Convert to fraction form
    209,866.64/314,892.94 = 110,003.10/x
  3. Step 3: Cross multiply
    209,866.64x = 314,892.94 × 110,003.10
  4. Step 4: Simplify right side
    209,866.64x = 34,639,199,568.11
  5. Step 5: Solve for x
    x = 34,639,199,568.11/209,866.64
  6. Step 6: Final answer
    x = 165,053.39

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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.