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Finding the Fourth Proportional to 104,652.14, 144,419.60 and 56,905.60

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Solution

The fourth proportional to 104,652.14, 144,419.60 and 56,905.60 is: 78,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,652.14 : 144,419.60 = 56,905.60 : x
  2. Step 2: Convert to fraction form
    104,652.14/144,419.60 = 56,905.60/x
  3. Step 3: Cross multiply
    104,652.14x = 144,419.60 × 56,905.60
  4. Step 4: Simplify right side
    104,652.14x = 8,218,283,989.76
  5. Step 5: Solve for x
    x = 8,218,283,989.76/104,652.14
  6. Step 6: Final answer
    x = 78,529.54

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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.