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Finding the Fourth Proportional to 114,206.20, 171,320.10 and 31,100.20

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Solution

The fourth proportional to 114,206.20, 171,320.10 and 31,100.20 is: 46,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,206.20 : 171,320.10 = 31,100.20 : x
  2. Step 2: Convert to fraction form
    114,206.20/171,320.10 = 31,100.20/x
  3. Step 3: Cross multiply
    114,206.20x = 171,320.10 × 31,100.20
  4. Step 4: Simplify right side
    114,206.20x = 5,328,089,374.02
  5. Step 5: Solve for x
    x = 5,328,089,374.02/114,206.20
  6. Step 6: Final answer
    x = 46,653.24

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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.