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Finding the Fourth Proportional to 284,099.39, 426,038.34 and 106,509.50

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Solution

The fourth proportional to 284,099.39, 426,038.34 and 106,509.50 is: 159,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,099.39 : 426,038.34 = 106,509.50 : x
  2. Step 2: Convert to fraction form
    284,099.39/426,038.34 = 106,509.50/x
  3. Step 3: Cross multiply
    284,099.39x = 426,038.34 × 106,509.50
  4. Step 4: Simplify right side
    284,099.39x = 45,377,130,574.23
  5. Step 5: Solve for x
    x = 45,377,130,574.23/284,099.39
  6. Step 6: Final answer
    x = 159,722.73

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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.