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Finding the Fourth Proportional to 289,060.38, 433,294.08 and 111,497.58

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Solution

The fourth proportional to 289,060.38, 433,294.08 and 111,497.58 is: 167,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,060.38 : 433,294.08 = 111,497.58 : x
  2. Step 2: Convert to fraction form
    289,060.38/433,294.08 = 111,497.58/x
  3. Step 3: Cross multiply
    289,060.38x = 433,294.08 × 111,497.58
  4. Step 4: Simplify right side
    289,060.38x = 48,311,241,348.33
  5. Step 5: Solve for x
    x = 48,311,241,348.33/289,060.38
  6. Step 6: Final answer
    x = 167,132.01

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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.