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Finding the Fourth Proportional to 289,158.48, 433,754.72 and 111,666.42

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Solution

The fourth proportional to 289,158.48, 433,754.72 and 111,666.42 is: 167,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,158.48 : 433,754.72 = 111,666.42 : x
  2. Step 2: Convert to fraction form
    289,158.48/433,754.72 = 111,666.42/x
  3. Step 3: Cross multiply
    289,158.48x = 433,754.72 × 111,666.42
  4. Step 4: Simplify right side
    289,158.48x = 48,435,834,850.89
  5. Step 5: Solve for x
    x = 48,435,834,850.89/289,158.48
  6. Step 6: Final answer
    x = 167,506.19

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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.