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Finding the Fourth Proportional to 214,847.76, 322,160.94 and 96,417.57

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Solution

The fourth proportional to 214,847.76, 322,160.94 and 96,417.57 is: 144,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,847.76 : 322,160.94 = 96,417.57 : x
  2. Step 2: Convert to fraction form
    214,847.76/322,160.94 = 96,417.57/x
  3. Step 3: Cross multiply
    214,847.76x = 322,160.94 × 96,417.57
  4. Step 4: Simplify right side
    214,847.76x = 31,061,974,983.72
  5. Step 5: Solve for x
    x = 31,061,974,983.72/214,847.76
  6. Step 6: Final answer
    x = 144,576.68

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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.