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Finding the Fourth Proportional to 284,062.54, 426,062.32 and 101,686.12

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Solution

The fourth proportional to 284,062.54, 426,062.32 and 101,686.12 is: 152,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,062.54 : 426,062.32 = 101,686.12 : x
  2. Step 2: Convert to fraction form
    284,062.54/426,062.32 = 101,686.12/x
  3. Step 3: Cross multiply
    284,062.54x = 426,062.32 × 101,686.12
  4. Step 4: Simplify right side
    284,062.54x = 43,324,624,199.00
  5. Step 5: Solve for x
    x = 43,324,624,199.00/284,062.54
  6. Step 6: Final answer
    x = 152,517.91

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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.