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Finding the Fourth Proportional to 140,795.72, 194,296.12 and 77,133.67

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Solution

The fourth proportional to 140,795.72, 194,296.12 and 77,133.67 is: 106,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,795.72 : 194,296.12 = 77,133.67 : x
  2. Step 2: Convert to fraction form
    140,795.72/194,296.12 = 77,133.67/x
  3. Step 3: Cross multiply
    140,795.72x = 194,296.12 × 77,133.67
  4. Step 4: Simplify right side
    140,795.72x = 14,986,772,123.79
  5. Step 5: Solve for x
    x = 14,986,772,123.79/140,795.72
  6. Step 6: Final answer
    x = 106,443.38

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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.