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Finding the Fourth Proportional to 162,334.42, 224,021.16 and 90,714.46

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Solution

The fourth proportional to 162,334.42, 224,021.16 and 90,714.46 is: 125,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,334.42 : 224,021.16 = 90,714.46 : x
  2. Step 2: Convert to fraction form
    162,334.42/224,021.16 = 90,714.46/x
  3. Step 3: Cross multiply
    162,334.42x = 224,021.16 × 90,714.46
  4. Step 4: Simplify right side
    162,334.42x = 20,321,958,557.97
  5. Step 5: Solve for x
    x = 20,321,958,557.97/162,334.42
  6. Step 6: Final answer
    x = 125,185.77

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