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Finding the Fourth Proportional to 165,887.64, 248,962.68 and 72,459

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Solution

The fourth proportional to 165,887.64, 248,962.68 and 72,459 is: 108,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,887.64 : 248,962.68 = 72,459 : x
  2. Step 2: Convert to fraction form
    165,887.64/248,962.68 = 72,459/x
  3. Step 3: Cross multiply
    165,887.64x = 248,962.68 × 72,459
  4. Step 4: Simplify right side
    165,887.64x = 18,039,586,830.12
  5. Step 5: Solve for x
    x = 18,039,586,830.12/165,887.64
  6. Step 6: Final answer
    x = 108,745.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.