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Finding the Fourth Proportional to 194,756.54, 292,105.52 and 61,619.47

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Solution

The fourth proportional to 194,756.54, 292,105.52 and 61,619.47 is: 92,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,756.54 : 292,105.52 = 61,619.47 : x
  2. Step 2: Convert to fraction form
    194,756.54/292,105.52 = 61,619.47/x
  3. Step 3: Cross multiply
    194,756.54x = 292,105.52 × 61,619.47
  4. Step 4: Simplify right side
    194,756.54x = 17,999,388,575.92
  5. Step 5: Solve for x
    x = 17,999,388,575.92/194,756.54
  6. Step 6: Final answer
    x = 92,419.94

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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.