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Finding the Fourth Proportional to 120,406.46, 180,595.34 and 31,666.90

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Solution

The fourth proportional to 120,406.46, 180,595.34 and 31,666.90 is: 47,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,406.46 : 180,595.34 = 31,666.90 : x
  2. Step 2: Convert to fraction form
    120,406.46/180,595.34 = 31,666.90/x
  3. Step 3: Cross multiply
    120,406.46x = 180,595.34 × 31,666.90
  4. Step 4: Simplify right side
    120,406.46x = 5,718,894,572.25
  5. Step 5: Solve for x
    x = 5,718,894,572.25/120,406.46
  6. Step 6: Final answer
    x = 47,496.58

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