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Finding the Fourth Proportional to 289,883.77, 434,821.33 and 100,482.01

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Solution

The fourth proportional to 289,883.77, 434,821.33 and 100,482.01 is: 150,721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,883.77 : 434,821.33 = 100,482.01 : x
  2. Step 2: Convert to fraction form
    289,883.77/434,821.33 = 100,482.01/x
  3. Step 3: Cross multiply
    289,883.77x = 434,821.33 × 100,482.01
  4. Step 4: Simplify right side
    289,883.77x = 43,691,721,229.27
  5. Step 5: Solve for x
    x = 43,691,721,229.27/289,883.77
  6. Step 6: Final answer
    x = 150,721.52

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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.