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Finding the Fourth Proportional to 284,101.40, 426,041.32 and 106,511.52

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Solution

The fourth proportional to 284,101.40, 426,041.32 and 106,511.52 is: 159,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,101.40 : 426,041.32 = 106,511.52 : x
  2. Step 2: Convert to fraction form
    284,101.40/426,041.32 = 106,511.52/x
  3. Step 3: Cross multiply
    284,101.40x = 426,041.32 × 106,511.52
  4. Step 4: Simplify right side
    284,101.40x = 45,378,308,576.01
  5. Step 5: Solve for x
    x = 45,378,308,576.01/284,101.40
  6. Step 6: Final answer
    x = 159,725.75

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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.