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Finding the Fourth Proportional to 209,932.22, 314,898.33 and 69,690.84

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Solution

The fourth proportional to 209,932.22, 314,898.33 and 69,690.84 is: 104,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,932.22 : 314,898.33 = 69,690.84 : x
  2. Step 2: Convert to fraction form
    209,932.22/314,898.33 = 69,690.84/x
  3. Step 3: Cross multiply
    209,932.22x = 314,898.33 × 69,690.84
  4. Step 4: Simplify right side
    209,932.22x = 21,945,529,132.30
  5. Step 5: Solve for x
    x = 21,945,529,132.30/209,932.22
  6. Step 6: Final answer
    x = 104,536.26

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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.