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Finding the Fourth Proportional to 285,684.01, 428,532.09 and 96,150.13

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Solution

The fourth proportional to 285,684.01, 428,532.09 and 96,150.13 is: 144,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,684.01 : 428,532.09 = 96,150.13 : x
  2. Step 2: Convert to fraction form
    285,684.01/428,532.09 = 96,150.13/x
  3. Step 3: Cross multiply
    285,684.01x = 428,532.09 × 96,150.13
  4. Step 4: Simplify right side
    285,684.01x = 41,203,416,162.67
  5. Step 5: Solve for x
    x = 41,203,416,162.67/285,684.01
  6. Step 6: Final answer
    x = 144,227.24

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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.