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Finding the Fourth Proportional to 310,392.12, 465,557.94 and 100,180.92

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Solution

The fourth proportional to 310,392.12, 465,557.94 and 100,180.92 is: 150,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,392.12 : 465,557.94 = 100,180.92 : x
  2. Step 2: Convert to fraction form
    310,392.12/465,557.94 = 100,180.92/x
  3. Step 3: Cross multiply
    310,392.12x = 465,557.94 × 100,180.92
  4. Step 4: Simplify right side
    310,392.12x = 46,640,022,742.50
  5. Step 5: Solve for x
    x = 46,640,022,742.50/310,392.12
  6. Step 6: Final answer
    x = 150,261.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.