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Finding the Fourth Proportional to 194,709.59, 292,084.89 and 80,844.47

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Solution

The fourth proportional to 194,709.59, 292,084.89 and 80,844.47 is: 121,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,709.59 : 292,084.89 = 80,844.47 : x
  2. Step 2: Convert to fraction form
    194,709.59/292,084.89 = 80,844.47/x
  3. Step 3: Cross multiply
    194,709.59x = 292,084.89 × 80,844.47
  4. Step 4: Simplify right side
    194,709.59x = 23,613,448,127.06
  5. Step 5: Solve for x
    x = 23,613,448,127.06/194,709.59
  6. Step 6: Final answer
    x = 121,275.22

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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.