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Finding the Fourth Proportional to 305,059.96, 457,446.51 and 112,801.55

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Solution

The fourth proportional to 305,059.96, 457,446.51 and 112,801.55 is: 169,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,059.96 : 457,446.51 = 112,801.55 : x
  2. Step 2: Convert to fraction form
    305,059.96/457,446.51 = 112,801.55/x
  3. Step 3: Cross multiply
    305,059.96x = 457,446.51 × 112,801.55
  4. Step 4: Simplify right side
    305,059.96x = 51,600,674,226.47
  5. Step 5: Solve for x
    x = 51,600,674,226.47/305,059.96
  6. Step 6: Final answer
    x = 169,149.29

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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.