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Finding the Fourth Proportional to 209,864.64, 314,889.93 and 110,001.09

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Solution

The fourth proportional to 209,864.64, 314,889.93 and 110,001.09 is: 165,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,864.64 : 314,889.93 = 110,001.09 : x
  2. Step 2: Convert to fraction form
    209,864.64/314,889.93 = 110,001.09/x
  3. Step 3: Cross multiply
    209,864.64x = 314,889.93 × 110,001.09
  4. Step 4: Simplify right side
    209,864.64x = 34,638,235,530.02
  5. Step 5: Solve for x
    x = 34,638,235,530.02/209,864.64
  6. Step 6: Final answer
    x = 165,050.37

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