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Finding the Fourth Proportional to 194,435.30, 291,215.55 and 115,703.30

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Solution

The fourth proportional to 194,435.30, 291,215.55 and 115,703.30 is: 173,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,435.30 : 291,215.55 = 115,703.30 : x
  2. Step 2: Convert to fraction form
    194,435.30/291,215.55 = 115,703.30/x
  3. Step 3: Cross multiply
    194,435.30x = 291,215.55 × 115,703.30
  4. Step 4: Simplify right side
    194,435.30x = 33,694,600,146.32
  5. Step 5: Solve for x
    x = 33,694,600,146.32/194,435.30
  6. Step 6: Final answer
    x = 173,294.66

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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.