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Finding the Fourth Proportional to 284,823.88, 426,900.38 and 116,239

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Solution

The fourth proportional to 284,823.88, 426,900.38 and 116,239 is: 174,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,823.88 : 426,900.38 = 116,239 : x
  2. Step 2: Convert to fraction form
    284,823.88/426,900.38 = 116,239/x
  3. Step 3: Cross multiply
    284,823.88x = 426,900.38 × 116,239
  4. Step 4: Simplify right side
    284,823.88x = 49,622,473,270.82
  5. Step 5: Solve for x
    x = 49,622,473,270.82/284,823.88
  6. Step 6: Final answer
    x = 174,221.60

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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.