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Finding the Fourth Proportional to 162,749.88, 224,504.46 and 114,425.64

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Solution

The fourth proportional to 162,749.88, 224,504.46 and 114,425.64 is: 157,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,749.88 : 224,504.46 = 114,425.64 : x
  2. Step 2: Convert to fraction form
    162,749.88/224,504.46 = 114,425.64/x
  3. Step 3: Cross multiply
    162,749.88x = 224,504.46 × 114,425.64
  4. Step 4: Simplify right side
    162,749.88x = 25,689,066,518.35
  5. Step 5: Solve for x
    x = 25,689,066,518.35/162,749.88
  6. Step 6: Final answer
    x = 157,843.84

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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.