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Finding the Fourth Proportional to 194,212.32, 291,318.48 and 111,048

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Solution

The fourth proportional to 194,212.32, 291,318.48 and 111,048 is: 166,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,212.32 : 291,318.48 = 111,048 : x
  2. Step 2: Convert to fraction form
    194,212.32/291,318.48 = 111,048/x
  3. Step 3: Cross multiply
    194,212.32x = 291,318.48 × 111,048
  4. Step 4: Simplify right side
    194,212.32x = 32,350,334,567.04
  5. Step 5: Solve for x
    x = 32,350,334,567.04/194,212.32
  6. Step 6: Final answer
    x = 166,572.00

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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.