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Finding the Fourth Proportional to 284,064.54, 426,065.33 and 101,688.12

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Solution

The fourth proportional to 284,064.54, 426,065.33 and 101,688.12 is: 152,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,064.54 : 426,065.33 = 101,688.12 : x
  2. Step 2: Convert to fraction form
    284,064.54/426,065.33 = 101,688.12/x
  3. Step 3: Cross multiply
    284,064.54x = 426,065.33 × 101,688.12
  4. Step 4: Simplify right side
    284,064.54x = 43,325,781,896.44
  5. Step 5: Solve for x
    x = 43,325,781,896.44/284,064.54
  6. Step 6: Final answer
    x = 152,520.91

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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.