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Finding the Fourth Proportional to 164,838.09, 227,379.11 and 105,222.09

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Solution

The fourth proportional to 164,838.09, 227,379.11 and 105,222.09 is: 145,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,838.09 : 227,379.11 = 105,222.09 : x
  2. Step 2: Convert to fraction form
    164,838.09/227,379.11 = 105,222.09/x
  3. Step 3: Cross multiply
    164,838.09x = 227,379.11 × 105,222.09
  4. Step 4: Simplify right side
    164,838.09x = 23,925,304,650.43
  5. Step 5: Solve for x
    x = 23,925,304,650.43/164,838.09
  6. Step 6: Final answer
    x = 145,144.27

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1.5x scale

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.