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Finding the Fourth Proportional to 205,499.70, 287,077.50 and 205,499.70

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Solution

The fourth proportional to 205,499.70, 287,077.50 and 205,499.70 is: 287,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,499.70 : 287,077.50 = 205,499.70 : x
  2. Step 2: Convert to fraction form
    205,499.70/287,077.50 = 205,499.70/x
  3. Step 3: Cross multiply
    205,499.70x = 287,077.50 × 205,499.70
  4. Step 4: Simplify right side
    205,499.70x = 58,994,340,126.75
  5. Step 5: Solve for x
    x = 58,994,340,126.75/205,499.70
  6. Step 6: Final answer
    x = 287,077.50

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Why These Related Problems?

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