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Finding the Fourth Proportional to 194,852.94, 292,287.92 and 61,743.01

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Solution

The fourth proportional to 194,852.94, 292,287.92 and 61,743.01 is: 92,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852.94 : 292,287.92 = 61,743.01 : x
  2. Step 2: Convert to fraction form
    194,852.94/292,287.92 = 61,743.01/x
  3. Step 3: Cross multiply
    194,852.94x = 292,287.92 × 61,743.01
  4. Step 4: Simplify right side
    194,852.94x = 18,046,735,967.44
  5. Step 5: Solve for x
    x = 18,046,735,967.44/194,852.94
  6. Step 6: Final answer
    x = 92,617.21

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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.