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Finding the Fourth Proportional to 194,295.98, 291,483.26 and 81,976.47

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Solution

The fourth proportional to 194,295.98, 291,483.26 and 81,976.47 is: 122,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,295.98 : 291,483.26 = 81,976.47 : x
  2. Step 2: Convert to fraction form
    194,295.98/291,483.26 = 81,976.47/x
  3. Step 3: Cross multiply
    194,295.98x = 291,483.26 × 81,976.47
  4. Step 4: Simplify right side
    194,295.98x = 23,894,768,309.01
  5. Step 5: Solve for x
    x = 23,894,768,309.01/194,295.98
  6. Step 6: Final answer
    x = 122,981.28

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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.