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Finding the Fourth Proportional to 114,218.70, 171,328.05 and 31,112.70

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Solution

The fourth proportional to 114,218.70, 171,328.05 and 31,112.70 is: 46,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,218.70 : 171,328.05 = 31,112.70 : x
  2. Step 2: Convert to fraction form
    114,218.70/171,328.05 = 31,112.70/x
  3. Step 3: Cross multiply
    114,218.70x = 171,328.05 × 31,112.70
  4. Step 4: Simplify right side
    114,218.70x = 5,330,478,221.24
  5. Step 5: Solve for x
    x = 5,330,478,221.24/114,218.70
  6. Step 6: Final answer
    x = 46,669.05

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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.