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Finding the Fourth Proportional to 118,952.34, 164,156.46 and 65,234.14

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Solution

The fourth proportional to 118,952.34, 164,156.46 and 65,234.14 is: 90,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,952.34 : 164,156.46 = 65,234.14 : x
  2. Step 2: Convert to fraction form
    118,952.34/164,156.46 = 65,234.14/x
  3. Step 3: Cross multiply
    118,952.34x = 164,156.46 × 65,234.14
  4. Step 4: Simplify right side
    118,952.34x = 10,708,605,493.54
  5. Step 5: Solve for x
    x = 10,708,605,493.54/118,952.34
  6. Step 6: Final answer
    x = 90,024.34

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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.