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Finding the Fourth Proportional to 203,959.30, 306,048.30 and 85,642.60

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Solution

The fourth proportional to 203,959.30, 306,048.30 and 85,642.60 is: 128,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,959.30 : 306,048.30 = 85,642.60 : x
  2. Step 2: Convert to fraction form
    203,959.30/306,048.30 = 85,642.60/x
  3. Step 3: Cross multiply
    203,959.30x = 306,048.30 × 85,642.60
  4. Step 4: Simplify right side
    203,959.30x = 26,210,772,137.58
  5. Step 5: Solve for x
    x = 26,210,772,137.58/203,959.30
  6. Step 6: Final answer
    x = 128,509.82

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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.