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Finding the Fourth Proportional to 284,419.95, 426,552.17 and 106,913.31

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Solution

The fourth proportional to 284,419.95, 426,552.17 and 106,913.31 is: 160,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,419.95 : 426,552.17 = 106,913.31 : x
  2. Step 2: Convert to fraction form
    284,419.95/426,552.17 = 106,913.31/x
  3. Step 3: Cross multiply
    284,419.95x = 426,552.17 × 106,913.31
  4. Step 4: Simplify right side
    284,419.95x = 45,604,103,847.82
  5. Step 5: Solve for x
    x = 45,604,103,847.82/284,419.95
  6. Step 6: Final answer
    x = 160,340.74

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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.