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Finding the Fourth Proportional to 194,339.46, 291,509.16 and 111,175.14

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Solution

The fourth proportional to 194,339.46, 291,509.16 and 111,175.14 is: 166,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,339.46 : 291,509.16 = 111,175.14 : x
  2. Step 2: Convert to fraction form
    194,339.46/291,509.16 = 111,175.14/x
  3. Step 3: Cross multiply
    194,339.46x = 291,509.16 × 111,175.14
  4. Step 4: Simplify right side
    194,339.46x = 32,408,571,674.28
  5. Step 5: Solve for x
    x = 32,408,571,674.28/194,339.46
  6. Step 6: Final answer
    x = 166,762.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.