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Finding the Fourth Proportional to 194,548.40, 291,606.60 and 76,180.40

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Solution

The fourth proportional to 194,548.40, 291,606.60 and 76,180.40 is: 114,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,548.40 : 291,606.60 = 76,180.40 : x
  2. Step 2: Convert to fraction form
    194,548.40/291,606.60 = 76,180.40/x
  3. Step 3: Cross multiply
    194,548.40x = 291,606.60 × 76,180.40
  4. Step 4: Simplify right side
    194,548.40x = 22,214,707,430.64
  5. Step 5: Solve for x
    x = 22,214,707,430.64/194,548.40
  6. Step 6: Final answer
    x = 114,186.02

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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.