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Finding the Fourth Proportional to 141,258, 194,936.04 and 77,596.86

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Solution

The fourth proportional to 141,258, 194,936.04 and 77,596.86 is: 107,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,258 : 194,936.04 = 77,596.86 : x
  2. Step 2: Convert to fraction form
    141,258/194,936.04 = 77,596.86/x
  3. Step 3: Cross multiply
    141,258x = 194,936.04 × 77,596.86
  4. Step 4: Simplify right side
    141,258x = 15,126,424,604.83
  5. Step 5: Solve for x
    x = 15,126,424,604.83/141,258
  6. Step 6: Final answer
    x = 107,083.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.