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Finding the Fourth Proportional to 284,737.14, 426,943.95 and 116,059.89

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Solution

The fourth proportional to 284,737.14, 426,943.95 and 116,059.89 is: 174,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,737.14 : 426,943.95 = 116,059.89 : x
  2. Step 2: Convert to fraction form
    284,737.14/426,943.95 = 116,059.89/x
  3. Step 3: Cross multiply
    284,737.14x = 426,943.95 × 116,059.89
  4. Step 4: Simplify right side
    284,737.14x = 49,551,067,873.17
  5. Step 5: Solve for x
    x = 49,551,067,873.17/284,737.14
  6. Step 6: Final answer
    x = 174,023.90

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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.