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Finding the Fourth Proportional to 194,074.31, 291,111.47 and 53,832.94

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Solution

The fourth proportional to 194,074.31, 291,111.47 and 53,832.94 is: 80,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,074.31 : 291,111.47 = 53,832.94 : x
  2. Step 2: Convert to fraction form
    194,074.31/291,111.47 = 53,832.94/x
  3. Step 3: Cross multiply
    194,074.31x = 291,111.47 × 53,832.94
  4. Step 4: Simplify right side
    194,074.31x = 15,671,385,502.75
  5. Step 5: Solve for x
    x = 15,671,385,502.75/194,074.31
  6. Step 6: Final answer
    x = 80,749.41

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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.