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Finding the Fourth Proportional to 142,590.70, 196,779.81 and 82,156.66

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Solution

The fourth proportional to 142,590.70, 196,779.81 and 82,156.66 is: 113,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,590.70 : 196,779.81 = 82,156.66 : x
  2. Step 2: Convert to fraction form
    142,590.70/196,779.81 = 82,156.66/x
  3. Step 3: Cross multiply
    142,590.70x = 196,779.81 × 82,156.66
  4. Step 4: Simplify right side
    142,590.70x = 16,166,771,945.03
  5. Step 5: Solve for x
    x = 16,166,771,945.03/142,590.70
  6. Step 6: Final answer
    x = 113,378.87

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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.