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Finding the Fourth Proportional to 320,689.14, 480,957.14 and 95,989.27

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Solution

The fourth proportional to 320,689.14, 480,957.14 and 95,989.27 is: 143,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,689.14 : 480,957.14 = 95,989.27 : x
  2. Step 2: Convert to fraction form
    320,689.14/480,957.14 = 95,989.27/x
  3. Step 3: Cross multiply
    320,689.14x = 480,957.14 × 95,989.27
  4. Step 4: Simplify right side
    320,689.14x = 46,166,724,709.26
  5. Step 5: Solve for x
    x = 46,166,724,709.26/320,689.14
  6. Step 6: Final answer
    x = 143,960.98

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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.