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Finding the Fourth Proportional to 289,158.60, 433,754.91 and 111,666.54

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Solution

The fourth proportional to 289,158.60, 433,754.91 and 111,666.54 is: 167,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,158.60 : 433,754.91 = 111,666.54 : x
  2. Step 2: Convert to fraction form
    289,158.60/433,754.91 = 111,666.54/x
  3. Step 3: Cross multiply
    289,158.60x = 433,754.91 × 111,666.54
  4. Step 4: Simplify right side
    289,158.60x = 48,435,910,007.71
  5. Step 5: Solve for x
    x = 48,435,910,007.71/289,158.60
  6. Step 6: Final answer
    x = 167,506.38

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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.