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Finding the Fourth Proportional to 194,643.34, 268,656.74 and 109,809.61

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Solution

The fourth proportional to 194,643.34, 268,656.74 and 109,809.61 is: 151,564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,643.34 : 268,656.74 = 109,809.61 : x
  2. Step 2: Convert to fraction form
    194,643.34/268,656.74 = 109,809.61/x
  3. Step 3: Cross multiply
    194,643.34x = 268,656.74 × 109,809.61
  4. Step 4: Simplify right side
    194,643.34x = 29,501,091,843.27
  5. Step 5: Solve for x
    x = 29,501,091,843.27/194,643.34
  6. Step 6: Final answer
    x = 151,564.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.