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Finding the Fourth Proportional to 297,120.96, 445,688.73 and 97,433.28

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Solution

The fourth proportional to 297,120.96, 445,688.73 and 97,433.28 is: 146,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,120.96 : 445,688.73 = 97,433.28 : x
  2. Step 2: Convert to fraction form
    297,120.96/445,688.73 = 97,433.28/x
  3. Step 3: Cross multiply
    297,120.96x = 445,688.73 × 97,433.28
  4. Step 4: Simplify right side
    297,120.96x = 43,424,914,822.93
  5. Step 5: Solve for x
    x = 43,424,914,822.93/297,120.96
  6. Step 6: Final answer
    x = 146,152.31

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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.