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Finding the Fourth Proportional to 289,158.73, 433,755.10 and 111,666.67

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Solution

The fourth proportional to 289,158.73, 433,755.10 and 111,666.67 is: 167,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,158.73 : 433,755.10 = 111,666.67 : x
  2. Step 2: Convert to fraction form
    289,158.73/433,755.10 = 111,666.67/x
  3. Step 3: Cross multiply
    289,158.73x = 433,755.10 × 111,666.67
  4. Step 4: Simplify right side
    289,158.73x = 48,435,985,164.57
  5. Step 5: Solve for x
    x = 48,435,985,164.57/289,158.73
  6. Step 6: Final answer
    x = 167,506.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.