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Finding the Fourth Proportional to 142,406.70, 213,484.34 and 53,722.48

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Solution

The fourth proportional to 142,406.70, 213,484.34 and 53,722.48 is: 80,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,406.70 : 213,484.34 = 53,722.48 : x
  2. Step 2: Convert to fraction form
    142,406.70/213,484.34 = 53,722.48/x
  3. Step 3: Cross multiply
    142,406.70x = 213,484.34 × 53,722.48
  4. Step 4: Simplify right side
    142,406.70x = 11,468,908,185.96
  5. Step 5: Solve for x
    x = 11,468,908,185.96/142,406.70
  6. Step 6: Final answer
    x = 80,536.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.