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Finding the Fourth Proportional to 205,105.20, 307,427.40 and 105,226.80

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Solution

The fourth proportional to 205,105.20, 307,427.40 and 105,226.80 is: 157,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,105.20 : 307,427.40 = 105,226.80 : x
  2. Step 2: Convert to fraction form
    205,105.20/307,427.40 = 105,226.80/x
  3. Step 3: Cross multiply
    205,105.20x = 307,427.40 × 105,226.80
  4. Step 4: Simplify right side
    205,105.20x = 32,349,601,534.32
  5. Step 5: Solve for x
    x = 32,349,601,534.32/205,105.20
  6. Step 6: Final answer
    x = 157,722.00

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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.