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Finding the Fourth Proportional to 205,404.90, 288,396.30 and 205,404.90

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Solution

The fourth proportional to 205,404.90, 288,396.30 and 205,404.90 is: 288,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,404.90 : 288,396.30 = 205,404.90 : x
  2. Step 2: Convert to fraction form
    205,404.90/288,396.30 = 205,404.90/x
  3. Step 3: Cross multiply
    205,404.90x = 288,396.30 × 205,404.90
  4. Step 4: Simplify right side
    205,404.90x = 59,238,013,161.87
  5. Step 5: Solve for x
    x = 59,238,013,161.87/205,404.90
  6. Step 6: Final answer
    x = 288,396.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.