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Finding the Fourth Proportional to 190,647.01, 285,963.32 and 57,523.71

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Solution

The fourth proportional to 190,647.01, 285,963.32 and 57,523.71 is: 86,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,647.01 : 285,963.32 = 57,523.71 : x
  2. Step 2: Convert to fraction form
    190,647.01/285,963.32 = 57,523.71/x
  3. Step 3: Cross multiply
    190,647.01x = 285,963.32 × 57,523.71
  4. Step 4: Simplify right side
    190,647.01x = 16,449,671,234.13
  5. Step 5: Solve for x
    x = 16,449,671,234.13/190,647.01
  6. Step 6: Final answer
    x = 86,283.40

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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.