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Finding the Fourth Proportional to 134,000.58, 200,739.54 and 74,657.54

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Solution

The fourth proportional to 134,000.58, 200,739.54 and 74,657.54 is: 111,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,000.58 : 200,739.54 = 74,657.54 : x
  2. Step 2: Convert to fraction form
    134,000.58/200,739.54 = 74,657.54/x
  3. Step 3: Cross multiply
    134,000.58x = 200,739.54 × 74,657.54
  4. Step 4: Simplify right side
    134,000.58x = 14,986,720,237.13
  5. Step 5: Solve for x
    x = 14,986,720,237.13/134,000.58
  6. Step 6: Final answer
    x = 111,840.71

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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.