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Finding the Fourth Proportional to 194,731.20, 292,096.80 and 110,458.80

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Solution

The fourth proportional to 194,731.20, 292,096.80 and 110,458.80 is: 165,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,731.20 : 292,096.80 = 110,458.80 : x
  2. Step 2: Convert to fraction form
    194,731.20/292,096.80 = 110,458.80/x
  3. Step 3: Cross multiply
    194,731.20x = 292,096.80 × 110,458.80
  4. Step 4: Simplify right side
    194,731.20x = 32,264,662,011.84
  5. Step 5: Solve for x
    x = 32,264,662,011.84/194,731.20
  6. Step 6: Final answer
    x = 165,688.20

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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.