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Finding the Fourth Proportional to 205,401.90, 308,102.85 and 72,281.10

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Solution

The fourth proportional to 205,401.90, 308,102.85 and 72,281.10 is: 108,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,401.90 : 308,102.85 = 72,281.10 : x
  2. Step 2: Convert to fraction form
    205,401.90/308,102.85 = 72,281.10/x
  3. Step 3: Cross multiply
    205,401.90x = 308,102.85 × 72,281.10
  4. Step 4: Simplify right side
    205,401.90x = 22,270,012,911.14
  5. Step 5: Solve for x
    x = 22,270,012,911.14/205,401.90
  6. Step 6: Final answer
    x = 108,421.65

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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.