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Finding the Fourth Proportional to 102,101.94, 140,880.03 and 59,652.27

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Solution

The fourth proportional to 102,101.94, 140,880.03 and 59,652.27 is: 82,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,101.94 : 140,880.03 = 59,652.27 : x
  2. Step 2: Convert to fraction form
    102,101.94/140,880.03 = 59,652.27/x
  3. Step 3: Cross multiply
    102,101.94x = 140,880.03 × 59,652.27
  4. Step 4: Simplify right side
    102,101.94x = 8,403,813,587.17
  5. Step 5: Solve for x
    x = 8,403,813,587.17/102,101.94
  6. Step 6: Final answer
    x = 82,308.07

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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.