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Finding the Fourth Proportional to 194,161.74, 291,242.34 and 61,053.66

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Solution

The fourth proportional to 194,161.74, 291,242.34 and 61,053.66 is: 91,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,161.74 : 291,242.34 = 61,053.66 : x
  2. Step 2: Convert to fraction form
    194,161.74/291,242.34 = 61,053.66/x
  3. Step 3: Cross multiply
    194,161.74x = 291,242.34 × 61,053.66
  4. Step 4: Simplify right side
    194,161.74x = 17,781,410,803.96
  5. Step 5: Solve for x
    x = 17,781,410,803.96/194,161.74
  6. Step 6: Final answer
    x = 91,580.41

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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.