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Finding the Fourth Proportional to 142,638.05, 213,959.50 and 53,933.33

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Solution

The fourth proportional to 142,638.05, 213,959.50 and 53,933.33 is: 80,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,638.05 : 213,959.50 = 53,933.33 : x
  2. Step 2: Convert to fraction form
    142,638.05/213,959.50 = 53,933.33/x
  3. Step 3: Cross multiply
    142,638.05x = 213,959.50 × 53,933.33
  4. Step 4: Simplify right side
    142,638.05x = 11,539,547,250.34
  5. Step 5: Solve for x
    x = 11,539,547,250.34/142,638.05
  6. Step 6: Final answer
    x = 80,900.91

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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.