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Finding the Fourth Proportional to 102,855.34, 154,227.53 and 46,664.79

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Solution

The fourth proportional to 102,855.34, 154,227.53 and 46,664.79 is: 69,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.34 : 154,227.53 = 46,664.79 : x
  2. Step 2: Convert to fraction form
    102,855.34/154,227.53 = 46,664.79/x
  3. Step 3: Cross multiply
    102,855.34x = 154,227.53 × 46,664.79
  4. Step 4: Simplify right side
    102,855.34x = 7,196,995,299.67
  5. Step 5: Solve for x
    x = 7,196,995,299.67/102,855.34
  6. Step 6: Final answer
    x = 69,972.01

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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.