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Finding the Fourth Proportional to 142,072.69, 196,085.74 and 84,715.72

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Solution

The fourth proportional to 142,072.69, 196,085.74 and 84,715.72 is: 116,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,072.69 : 196,085.74 = 84,715.72 : x
  2. Step 2: Convert to fraction form
    142,072.69/196,085.74 = 84,715.72/x
  3. Step 3: Cross multiply
    142,072.69x = 196,085.74 × 84,715.72
  4. Step 4: Simplify right side
    142,072.69x = 16,611,544,645.83
  5. Step 5: Solve for x
    x = 16,611,544,645.83/142,072.69
  6. Step 6: Final answer
    x = 116,922.86

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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.