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Finding the Fourth Proportional to 284,784.84, 426,841.92 and 116,199.95

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Solution

The fourth proportional to 284,784.84, 426,841.92 and 116,199.95 is: 174,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,784.84 : 426,841.92 = 116,199.95 : x
  2. Step 2: Convert to fraction form
    284,784.84/426,841.92 = 116,199.95/x
  3. Step 3: Cross multiply
    284,784.84x = 426,841.92 × 116,199.95
  4. Step 4: Simplify right side
    284,784.84x = 49,599,007,627.69
  5. Step 5: Solve for x
    x = 49,599,007,627.69/284,784.84
  6. Step 6: Final answer
    x = 174,163.09

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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.