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Finding the Fourth Proportional to 205,883.56, 308,878.58 and 120,566.48

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Solution

The fourth proportional to 205,883.56, 308,878.58 and 120,566.48 is: 180,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,883.56 : 308,878.58 = 120,566.48 : x
  2. Step 2: Convert to fraction form
    205,883.56/308,878.58 = 120,566.48/x
  3. Step 3: Cross multiply
    205,883.56x = 308,878.58 × 120,566.48
  4. Step 4: Simplify right side
    205,883.56x = 37,240,401,895.02
  5. Step 5: Solve for x
    x = 37,240,401,895.02/205,883.56
  6. Step 6: Final answer
    x = 180,880.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.