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Finding the Fourth Proportional to 203,969.80, 306,064.05 and 85,653.10

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Solution

The fourth proportional to 203,969.80, 306,064.05 and 85,653.10 is: 128,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,969.80 : 306,064.05 = 85,653.10 : x
  2. Step 2: Convert to fraction form
    203,969.80/306,064.05 = 85,653.10/x
  3. Step 3: Cross multiply
    203,969.80x = 306,064.05 × 85,653.10
  4. Step 4: Simplify right side
    203,969.80x = 26,215,334,681.06
  5. Step 5: Solve for x
    x = 26,215,334,681.06/203,969.80
  6. Step 6: Final answer
    x = 128,525.57

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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.