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Finding the Fourth Proportional to 102,244, 141,096.72 and 57,532.96

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Solution

The fourth proportional to 102,244, 141,096.72 and 57,532.96 is: 79,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,244 : 141,096.72 = 57,532.96 : x
  2. Step 2: Convert to fraction form
    102,244/141,096.72 = 57,532.96/x
  3. Step 3: Cross multiply
    102,244x = 141,096.72 × 57,532.96
  4. Step 4: Simplify right side
    102,244x = 8,117,711,947.89
  5. Step 5: Solve for x
    x = 8,117,711,947.89/102,244
  6. Step 6: Final answer
    x = 79,395.48

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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.