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Finding the Fourth Proportional to 120,089.99, 180,119.50 and 53,514.98

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Solution

The fourth proportional to 120,089.99, 180,119.50 and 53,514.98 is: 80,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,089.99 : 180,119.50 = 53,514.98 : x
  2. Step 2: Convert to fraction form
    120,089.99/180,119.50 = 53,514.98/x
  3. Step 3: Cross multiply
    120,089.99x = 180,119.50 × 53,514.98
  4. Step 4: Simplify right side
    120,089.99x = 9,639,091,081.17
  5. Step 5: Solve for x
    x = 9,639,091,081.17/120,089.99
  6. Step 6: Final answer
    x = 80,265.56

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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.