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Finding the Fourth Proportional to 162,857.13, 224,742.83 and 91,237.13

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Solution

The fourth proportional to 162,857.13, 224,742.83 and 91,237.13 is: 125,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,857.13 : 224,742.83 = 91,237.13 : x
  2. Step 2: Convert to fraction form
    162,857.13/224,742.83 = 91,237.13/x
  3. Step 3: Cross multiply
    162,857.13x = 224,742.83 × 91,237.13
  4. Step 4: Simplify right side
    162,857.13x = 20,504,890,797.28
  5. Step 5: Solve for x
    x = 20,504,890,797.28/162,857.13
  6. Step 6: Final answer
    x = 125,907.23

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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.