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Finding the Fourth Proportional to 194,325.86, 291,488.79 and 75,914.16

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Solution

The fourth proportional to 194,325.86, 291,488.79 and 75,914.16 is: 113,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,325.86 : 291,488.79 = 75,914.16 : x
  2. Step 2: Convert to fraction form
    194,325.86/291,488.79 = 75,914.16/x
  3. Step 3: Cross multiply
    194,325.86x = 291,488.79 × 75,914.16
  4. Step 4: Simplify right side
    194,325.86x = 22,128,126,642.27
  5. Step 5: Solve for x
    x = 22,128,126,642.27/194,325.86
  6. Step 6: Final answer
    x = 113,871.24

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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.