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Finding the Fourth Proportional to 285,496.94, 428,284.74 and 95,972.02

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Solution

The fourth proportional to 285,496.94, 428,284.74 and 95,972.02 is: 143,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,496.94 : 428,284.74 = 95,972.02 : x
  2. Step 2: Convert to fraction form
    285,496.94/428,284.74 = 95,972.02/x
  3. Step 3: Cross multiply
    285,496.94x = 428,284.74 × 95,972.02
  4. Step 4: Simplify right side
    285,496.94x = 41,103,351,632.97
  5. Step 5: Solve for x
    x = 41,103,351,632.97/285,496.94
  6. Step 6: Final answer
    x = 143,971.25

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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.