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Finding the Fourth Proportional to 141,900.76, 195,824.58 and 77,369.47

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Solution

The fourth proportional to 141,900.76, 195,824.58 and 77,369.47 is: 106,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,900.76 : 195,824.58 = 77,369.47 : x
  2. Step 2: Convert to fraction form
    141,900.76/195,824.58 = 77,369.47/x
  3. Step 3: Cross multiply
    141,900.76x = 195,824.58 × 77,369.47
  4. Step 4: Simplify right side
    141,900.76x = 15,150,843,967.57
  5. Step 5: Solve for x
    x = 15,150,843,967.57/141,900.76
  6. Step 6: Final answer
    x = 106,770.70

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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.