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Finding the Fourth Proportional to 194,253.90, 291,422.31 and 110,054.40

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Solution

The fourth proportional to 194,253.90, 291,422.31 and 110,054.40 is: 165,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,253.90 : 291,422.31 = 110,054.40 : x
  2. Step 2: Convert to fraction form
    194,253.90/291,422.31 = 110,054.40/x
  3. Step 3: Cross multiply
    194,253.90x = 291,422.31 × 110,054.40
  4. Step 4: Simplify right side
    194,253.90x = 32,072,305,968.13
  5. Step 5: Solve for x
    x = 32,072,305,968.13/194,253.90
  6. Step 6: Final answer
    x = 165,105.08

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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.