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Finding the Fourth Proportional to 403,342.40, 605,071.20 and 137,115.20

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Solution

The fourth proportional to 403,342.40, 605,071.20 and 137,115.20 is: 205,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,342.40 : 605,071.20 = 137,115.20 : x
  2. Step 2: Convert to fraction form
    403,342.40/605,071.20 = 137,115.20/x
  3. Step 3: Cross multiply
    403,342.40x = 605,071.20 × 137,115.20
  4. Step 4: Simplify right side
    403,342.40x = 82,964,458,602.24
  5. Step 5: Solve for x
    x = 82,964,458,602.24/403,342.40
  6. Step 6: Final answer
    x = 205,692.38

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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.