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Finding the Fourth Proportional to 233,285.67, 321,857.24 and 190,191.08

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Solution

The fourth proportional to 233,285.67, 321,857.24 and 190,191.08 is: 262,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,285.67 : 321,857.24 = 190,191.08 : x
  2. Step 2: Convert to fraction form
    233,285.67/321,857.24 = 190,191.08/x
  3. Step 3: Cross multiply
    233,285.67x = 321,857.24 × 190,191.08
  4. Step 4: Simplify right side
    233,285.67x = 61,214,373,521.18
  5. Step 5: Solve for x
    x = 61,214,373,521.18/233,285.67
  6. Step 6: Final answer
    x = 262,400.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.