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Finding the Fourth Proportional to 194,706.68, 292,202.56 and 100,015.92

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Solution

The fourth proportional to 194,706.68, 292,202.56 and 100,015.92 is: 150,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,706.68 : 292,202.56 = 100,015.92 : x
  2. Step 2: Convert to fraction form
    194,706.68/292,202.56 = 100,015.92/x
  3. Step 3: Cross multiply
    194,706.68x = 292,202.56 × 100,015.92
  4. Step 4: Simplify right side
    194,706.68x = 29,224,907,864.76
  5. Step 5: Solve for x
    x = 29,224,907,864.76/194,706.68
  6. Step 6: Final answer
    x = 150,097.10

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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.