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Finding the Fourth Proportional to 191,873.12, 264,703.22 and 140,797.10

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Solution

The fourth proportional to 191,873.12, 264,703.22 and 140,797.10 is: 194,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,873.12 : 264,703.22 = 140,797.10 : x
  2. Step 2: Convert to fraction form
    191,873.12/264,703.22 = 140,797.10/x
  3. Step 3: Cross multiply
    191,873.12x = 264,703.22 × 140,797.10
  4. Step 4: Simplify right side
    191,873.12x = 37,269,445,736.66
  5. Step 5: Solve for x
    x = 37,269,445,736.66/191,873.12
  6. Step 6: Final answer
    x = 194,240.06

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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.