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Finding the Fourth Proportional to 201,200.96, 301,866.96 and 96,006.32

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Solution

The fourth proportional to 201,200.96, 301,866.96 and 96,006.32 is: 144,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.96 : 301,866.96 = 96,006.32 : x
  2. Step 2: Convert to fraction form
    201,200.96/301,866.96 = 96,006.32/x
  3. Step 3: Cross multiply
    201,200.96x = 301,866.96 × 96,006.32
  4. Step 4: Simplify right side
    201,200.96x = 28,981,135,959.19
  5. Step 5: Solve for x
    x = 28,981,135,959.19/201,200.96
  6. Step 6: Final answer
    x = 144,040.74

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1.5x scale

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.