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Finding the Fourth Proportional to 104,822.64, 144,638.96 and 60,102

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Solution

The fourth proportional to 104,822.64, 144,638.96 and 60,102 is: 82,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,822.64 : 144,638.96 = 60,102 : x
  2. Step 2: Convert to fraction form
    104,822.64/144,638.96 = 60,102/x
  3. Step 3: Cross multiply
    104,822.64x = 144,638.96 × 60,102
  4. Step 4: Simplify right side
    104,822.64x = 8,693,090,773.92
  5. Step 5: Solve for x
    x = 8,693,090,773.92/104,822.64
  6. Step 6: Final answer
    x = 82,931.42

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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.