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Finding the Fourth Proportional to 297,147.96, 445,787.51 and 110,159.46

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Solution

The fourth proportional to 297,147.96, 445,787.51 and 110,159.46 is: 165,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,147.96 : 445,787.51 = 110,159.46 : x
  2. Step 2: Convert to fraction form
    297,147.96/445,787.51 = 110,159.46/x
  3. Step 3: Cross multiply
    297,147.96x = 445,787.51 × 110,159.46
  4. Step 4: Simplify right side
    297,147.96x = 49,107,710,825.55
  5. Step 5: Solve for x
    x = 49,107,710,825.55/297,147.96
  6. Step 6: Final answer
    x = 165,263.50

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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.