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Finding the Fourth Proportional to 143,267.76, 214,827.75 and 64,314.27

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Solution

The fourth proportional to 143,267.76, 214,827.75 and 64,314.27 is: 96,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,267.76 : 214,827.75 = 64,314.27 : x
  2. Step 2: Convert to fraction form
    143,267.76/214,827.75 = 64,314.27/x
  3. Step 3: Cross multiply
    143,267.76x = 214,827.75 × 64,314.27
  4. Step 4: Simplify right side
    143,267.76x = 13,816,489,916.99
  5. Step 5: Solve for x
    x = 13,816,489,916.99/143,267.76
  6. Step 6: Final answer
    x = 96,438.24

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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.