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Finding the Fourth Proportional to 190,702.32, 286,067.52 and 50,460

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Solution

The fourth proportional to 190,702.32, 286,067.52 and 50,460 is: 75,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,702.32 : 286,067.52 = 50,460 : x
  2. Step 2: Convert to fraction form
    190,702.32/286,067.52 = 50,460/x
  3. Step 3: Cross multiply
    190,702.32x = 286,067.52 × 50,460
  4. Step 4: Simplify right side
    190,702.32x = 14,434,967,059.20
  5. Step 5: Solve for x
    x = 14,434,967,059.20/190,702.32
  6. Step 6: Final answer
    x = 75,693.71

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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.