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Finding the Fourth Proportional to 203,973.30, 306,069.30 and 85,656.60

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Solution

The fourth proportional to 203,973.30, 306,069.30 and 85,656.60 is: 128,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,973.30 : 306,069.30 = 85,656.60 : x
  2. Step 2: Convert to fraction form
    203,973.30/306,069.30 = 85,656.60/x
  3. Step 3: Cross multiply
    203,973.30x = 306,069.30 × 85,656.60
  4. Step 4: Simplify right side
    203,973.30x = 26,216,855,602.38
  5. Step 5: Solve for x
    x = 26,216,855,602.38/203,973.30
  6. Step 6: Final answer
    x = 128,530.82

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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.