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Finding the Fourth Proportional to 211,898.70, 319,336.56 and 190,865.16

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Solution

The fourth proportional to 211,898.70, 319,336.56 and 190,865.16 is: 287,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,898.70 : 319,336.56 = 190,865.16 : x
  2. Step 2: Convert to fraction form
    211,898.70/319,336.56 = 190,865.16/x
  3. Step 3: Cross multiply
    211,898.70x = 319,336.56 × 190,865.16
  4. Step 4: Simplify right side
    211,898.70x = 60,950,223,618.25
  5. Step 5: Solve for x
    x = 60,950,223,618.25/211,898.70
  6. Step 6: Final answer
    x = 287,638.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.