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Finding the Fourth Proportional to 190,062.76, 285,198.54 and 96,576.52

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Solution

The fourth proportional to 190,062.76, 285,198.54 and 96,576.52 is: 144,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,062.76 : 285,198.54 = 96,576.52 : x
  2. Step 2: Convert to fraction form
    190,062.76/285,198.54 = 96,576.52/x
  3. Step 3: Cross multiply
    190,062.76x = 285,198.54 × 96,576.52
  4. Step 4: Simplify right side
    190,062.76x = 27,543,482,502.28
  5. Step 5: Solve for x
    x = 27,543,482,502.28/190,062.76
  6. Step 6: Final answer
    x = 144,917.83

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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.