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Finding the Fourth Proportional to 289,111.38, 433,433.33 and 120,760.67

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Solution

The fourth proportional to 289,111.38, 433,433.33 and 120,760.67 is: 181,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,111.38 : 433,433.33 = 120,760.67 : x
  2. Step 2: Convert to fraction form
    289,111.38/433,433.33 = 120,760.67/x
  3. Step 3: Cross multiply
    289,111.38x = 433,433.33 × 120,760.67
  4. Step 4: Simplify right side
    289,111.38x = 52,341,700,263.76
  5. Step 5: Solve for x
    x = 52,341,700,263.76/289,111.38
  6. Step 6: Final answer
    x = 181,043.38

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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.