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Finding the Fourth Proportional to 205,311.40, 307,967.10 and 121,330.60

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Solution

The fourth proportional to 205,311.40, 307,967.10 and 121,330.60 is: 181,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,311.40 : 307,967.10 = 121,330.60 : x
  2. Step 2: Convert to fraction form
    205,311.40/307,967.10 = 121,330.60/x
  3. Step 3: Cross multiply
    205,311.40x = 307,967.10 × 121,330.60
  4. Step 4: Simplify right side
    205,311.40x = 37,365,833,023.26
  5. Step 5: Solve for x
    x = 37,365,833,023.26/205,311.40
  6. Step 6: Final answer
    x = 181,995.90

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