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Finding the Fourth Proportional to 306,032.43, 459,122.45 and 106,323.75

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Solution

The fourth proportional to 306,032.43, 459,122.45 and 106,323.75 is: 159,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,032.43 : 459,122.45 = 106,323.75 : x
  2. Step 2: Convert to fraction form
    306,032.43/459,122.45 = 106,323.75/x
  3. Step 3: Cross multiply
    306,032.43x = 459,122.45 × 106,323.75
  4. Step 4: Simplify right side
    306,032.43x = 48,815,620,061.57
  5. Step 5: Solve for x
    x = 48,815,620,061.57/306,032.43
  6. Step 6: Final answer
    x = 159,511.27

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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.