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Finding the Fourth Proportional to 102,497.40, 141,236.46 and 75,597.30

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Solution

The fourth proportional to 102,497.40, 141,236.46 and 75,597.30 is: 104,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,497.40 : 141,236.46 = 75,597.30 : x
  2. Step 2: Convert to fraction form
    102,497.40/141,236.46 = 75,597.30/x
  3. Step 3: Cross multiply
    102,497.40x = 141,236.46 × 75,597.30
  4. Step 4: Simplify right side
    102,497.40x = 10,677,095,037.56
  5. Step 5: Solve for x
    x = 10,677,095,037.56/102,497.40
  6. Step 6: Final answer
    x = 104,169.42

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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.