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Finding the Fourth Proportional to 194,975.97, 292,474.34 and 61,866.51

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Solution

The fourth proportional to 194,975.97, 292,474.34 and 61,866.51 is: 92,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,975.97 : 292,474.34 = 61,866.51 : x
  2. Step 2: Convert to fraction form
    194,975.97/292,474.34 = 61,866.51/x
  3. Step 3: Cross multiply
    194,975.97x = 292,474.34 × 61,866.51
  4. Step 4: Simplify right side
    194,975.97x = 18,094,366,680.35
  5. Step 5: Solve for x
    x = 18,094,366,680.35/194,975.97
  6. Step 6: Final answer
    x = 92,803.06

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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.