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Finding the Fourth Proportional to 114,143.14, 171,214.44 and 31,037.14

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Solution

The fourth proportional to 114,143.14, 171,214.44 and 31,037.14 is: 46,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,143.14 : 171,214.44 = 31,037.14 : x
  2. Step 2: Convert to fraction form
    114,143.14/171,214.44 = 31,037.14/x
  3. Step 3: Cross multiply
    114,143.14x = 171,214.44 × 31,037.14
  4. Step 4: Simplify right side
    114,143.14x = 5,314,006,544.30
  5. Step 5: Solve for x
    x = 5,314,006,544.30/114,143.14
  6. Step 6: Final answer
    x = 46,555.64

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1.5x scale

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.