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Finding the Fourth Proportional to 100,056.96, 138,085.02 and 57,614.58

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Solution

The fourth proportional to 100,056.96, 138,085.02 and 57,614.58 is: 79,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056.96 : 138,085.02 = 57,614.58 : x
  2. Step 2: Convert to fraction form
    100,056.96/138,085.02 = 57,614.58/x
  3. Step 3: Cross multiply
    100,056.96x = 138,085.02 × 57,614.58
  4. Step 4: Simplify right side
    100,056.96x = 7,955,710,431.59
  5. Step 5: Solve for x
    x = 7,955,710,431.59/100,056.96
  6. Step 6: Final answer
    x = 79,511.81

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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.