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Finding the Fourth Proportional to 194,980.57, 292,481.24 and 61,871.24

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Solution

The fourth proportional to 194,980.57, 292,481.24 and 61,871.24 is: 92,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,980.57 : 292,481.24 = 61,871.24 : x
  2. Step 2: Convert to fraction form
    194,980.57/292,481.24 = 61,871.24/x
  3. Step 3: Cross multiply
    194,980.57x = 292,481.24 × 61,871.24
  4. Step 4: Simplify right side
    194,980.57x = 18,096,176,686.18
  5. Step 5: Solve for x
    x = 18,096,176,686.18/194,980.57
  6. Step 6: Final answer
    x = 92,810.16

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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.