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Finding the Fourth Proportional to 205,334.76, 283,358.98 and 114,692.01

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Solution

The fourth proportional to 205,334.76, 283,358.98 and 114,692.01 is: 158,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,334.76 : 283,358.98 = 114,692.01 : x
  2. Step 2: Convert to fraction form
    205,334.76/283,358.98 = 114,692.01/x
  3. Step 3: Cross multiply
    205,334.76x = 283,358.98 × 114,692.01
  4. Step 4: Simplify right side
    205,334.76x = 32,499,010,967.75
  5. Step 5: Solve for x
    x = 32,499,010,967.75/205,334.76
  6. Step 6: Final answer
    x = 158,273.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.