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Finding the Fourth Proportional to 111,834, 154,330.92 and 61,533

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Solution

The fourth proportional to 111,834, 154,330.92 and 61,533 is: 84,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,834 : 154,330.92 = 61,533 : x
  2. Step 2: Convert to fraction form
    111,834/154,330.92 = 61,533/x
  3. Step 3: Cross multiply
    111,834x = 154,330.92 × 61,533
  4. Step 4: Simplify right side
    111,834x = 9,496,444,500.36
  5. Step 5: Solve for x
    x = 9,496,444,500.36/111,834
  6. Step 6: Final answer
    x = 84,915.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.