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Finding the Fourth Proportional to 142,059.96, 196,043.85 and 77,529.69

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Solution

The fourth proportional to 142,059.96, 196,043.85 and 77,529.69 is: 106,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,059.96 : 196,043.85 = 77,529.69 : x
  2. Step 2: Convert to fraction form
    142,059.96/196,043.85 = 77,529.69/x
  3. Step 3: Cross multiply
    142,059.96x = 196,043.85 × 77,529.69
  4. Step 4: Simplify right side
    142,059.96x = 15,199,218,916.91
  5. Step 5: Solve for x
    x = 15,199,218,916.91/142,059.96
  6. Step 6: Final answer
    x = 106,991.58

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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.