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Finding the Fourth Proportional to 297,176.64, 445,881.72 and 130,848

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Solution

The fourth proportional to 297,176.64, 445,881.72 and 130,848 is: 196,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,176.64 : 445,881.72 = 130,848 : x
  2. Step 2: Convert to fraction form
    297,176.64/445,881.72 = 130,848/x
  3. Step 3: Cross multiply
    297,176.64x = 445,881.72 × 130,848
  4. Step 4: Simplify right side
    297,176.64x = 58,342,731,298.56
  5. Step 5: Solve for x
    x = 58,342,731,298.56/297,176.64
  6. Step 6: Final answer
    x = 196,323.41

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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.