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Finding the Fourth Proportional to 130,033.74, 195,077.88 and 73,899.84

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Solution

The fourth proportional to 130,033.74, 195,077.88 and 73,899.84 is: 110,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,033.74 : 195,077.88 = 73,899.84 : x
  2. Step 2: Convert to fraction form
    130,033.74/195,077.88 = 73,899.84/x
  3. Step 3: Cross multiply
    130,033.74x = 195,077.88 × 73,899.84
  4. Step 4: Simplify right side
    130,033.74x = 14,416,224,119.54
  5. Step 5: Solve for x
    x = 14,416,224,119.54/130,033.74
  6. Step 6: Final answer
    x = 110,865.26

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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.