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Finding the Fourth Proportional to 142,050.96, 213,021.03 and 53,256.06

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Solution

The fourth proportional to 142,050.96, 213,021.03 and 53,256.06 is: 79,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,050.96 : 213,021.03 = 53,256.06 : x
  2. Step 2: Convert to fraction form
    142,050.96/213,021.03 = 53,256.06/x
  3. Step 3: Cross multiply
    142,050.96x = 213,021.03 × 53,256.06
  4. Step 4: Simplify right side
    142,050.96x = 11,344,660,754.94
  5. Step 5: Solve for x
    x = 11,344,660,754.94/142,050.96
  6. Step 6: Final answer
    x = 79,863.32

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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.