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Finding the Fourth Proportional to 289,282.08, 433,991.93 and 120,708.73

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Solution

The fourth proportional to 289,282.08, 433,991.93 and 120,708.73 is: 181,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,282.08 : 433,991.93 = 120,708.73 : x
  2. Step 2: Convert to fraction form
    289,282.08/433,991.93 = 120,708.73/x
  3. Step 3: Cross multiply
    289,282.08x = 433,991.93 × 120,708.73
  4. Step 4: Simplify right side
    289,282.08x = 52,386,614,639.50
  5. Step 5: Solve for x
    x = 52,386,614,639.50/289,282.08
  6. Step 6: Final answer
    x = 181,091.80

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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.