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Finding the Fourth Proportional to 194,151.81, 291,108.78 and 75,684.75

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Solution

The fourth proportional to 194,151.81, 291,108.78 and 75,684.75 is: 113,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,151.81 : 291,108.78 = 75,684.75 : x
  2. Step 2: Convert to fraction form
    194,151.81/291,108.78 = 75,684.75/x
  3. Step 3: Cross multiply
    194,151.81x = 291,108.78 × 75,684.75
  4. Step 4: Simplify right side
    194,151.81x = 22,032,495,237.11
  5. Step 5: Solve for x
    x = 22,032,495,237.11/194,151.81
  6. Step 6: Final answer
    x = 113,480.76

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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.