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Finding the Fourth Proportional to 285,201.65, 428,223.02 and 159,088.29

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Solution

The fourth proportional to 285,201.65, 428,223.02 and 159,088.29 is: 238,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,201.65 : 428,223.02 = 159,088.29 : x
  2. Step 2: Convert to fraction form
    285,201.65/428,223.02 = 159,088.29/x
  3. Step 3: Cross multiply
    285,201.65x = 428,223.02 × 159,088.29
  4. Step 4: Simplify right side
    285,201.65x = 68,125,267,194.99
  5. Step 5: Solve for x
    x = 68,125,267,194.99/285,201.65
  6. Step 6: Final answer
    x = 238,867.02

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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.