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Finding the Fourth Proportional to 284,108.36, 426,231.90 and 94,568.36

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Solution

The fourth proportional to 284,108.36, 426,231.90 and 94,568.36 is: 141,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,108.36 : 426,231.90 = 94,568.36 : x
  2. Step 2: Convert to fraction form
    284,108.36/426,231.90 = 94,568.36/x
  3. Step 3: Cross multiply
    284,108.36x = 426,231.90 × 94,568.36
  4. Step 4: Simplify right side
    284,108.36x = 40,308,051,762.68
  5. Step 5: Solve for x
    x = 40,308,051,762.68/284,108.36
  6. Step 6: Final answer
    x = 141,875.63

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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.