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Finding the Fourth Proportional to 209,773.44, 314,543.52 and 69,455.52

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Solution

The fourth proportional to 209,773.44, 314,543.52 and 69,455.52 is: 104,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,773.44 : 314,543.52 = 69,455.52 : x
  2. Step 2: Convert to fraction form
    209,773.44/314,543.52 = 69,455.52/x
  3. Step 3: Cross multiply
    209,773.44x = 314,543.52 × 69,455.52
  4. Step 4: Simplify right side
    209,773.44x = 21,846,783,744.23
  5. Step 5: Solve for x
    x = 21,846,783,744.23/209,773.44
  6. Step 6: Final answer
    x = 104,144.66

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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.