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Finding the Fourth Proportional to 286,093.14, 394,797.42 and 157,034.22

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Solution

The fourth proportional to 286,093.14, 394,797.42 and 157,034.22 is: 216,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,093.14 : 394,797.42 = 157,034.22 : x
  2. Step 2: Convert to fraction form
    286,093.14/394,797.42 = 157,034.22/x
  3. Step 3: Cross multiply
    286,093.14x = 394,797.42 × 157,034.22
  4. Step 4: Simplify right side
    286,093.14x = 61,996,704,907.71
  5. Step 5: Solve for x
    x = 61,996,704,907.71/286,093.14
  6. Step 6: Final answer
    x = 216,701.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.