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Finding the Fourth Proportional to 190,141.52, 285,211.52 and 47,987.12

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Solution

The fourth proportional to 190,141.52, 285,211.52 and 47,987.12 is: 71,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,141.52 : 285,211.52 = 47,987.12 : x
  2. Step 2: Convert to fraction form
    190,141.52/285,211.52 = 47,987.12/x
  3. Step 3: Cross multiply
    190,141.52x = 285,211.52 × 47,987.12
  4. Step 4: Simplify right side
    190,141.52x = 13,686,479,435.62
  5. Step 5: Solve for x
    x = 13,686,479,435.62/190,141.52
  6. Step 6: Final answer
    x = 71,980.49

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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.