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Finding the Fourth Proportional to 205,972.70, 288,776.50 and 205,972.70

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Solution

The fourth proportional to 205,972.70, 288,776.50 and 205,972.70 is: 288,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,972.70 : 288,776.50 = 205,972.70 : x
  2. Step 2: Convert to fraction form
    205,972.70/288,776.50 = 205,972.70/x
  3. Step 3: Cross multiply
    205,972.70x = 288,776.50 × 205,972.70
  4. Step 4: Simplify right side
    205,972.70x = 59,480,075,401.55
  5. Step 5: Solve for x
    x = 59,480,075,401.55/205,972.70
  6. Step 6: Final answer
    x = 288,776.50

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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.