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Finding the Fourth Proportional to 194,540.59, 291,726.13 and 103,336.03

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Solution

The fourth proportional to 194,540.59, 291,726.13 and 103,336.03 is: 154,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,540.59 : 291,726.13 = 103,336.03 : x
  2. Step 2: Convert to fraction form
    194,540.59/291,726.13 = 103,336.03/x
  3. Step 3: Cross multiply
    194,540.59x = 291,726.13 × 103,336.03
  4. Step 4: Simplify right side
    194,540.59x = 30,145,820,121.46
  5. Step 5: Solve for x
    x = 30,145,820,121.46/194,540.59
  6. Step 6: Final answer
    x = 154,959.02

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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.