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Finding the Fourth Proportional to 164,846.34, 227,390.49 and 105,230.34

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Solution

The fourth proportional to 164,846.34, 227,390.49 and 105,230.34 is: 145,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,846.34 : 227,390.49 = 105,230.34 : x
  2. Step 2: Convert to fraction form
    164,846.34/227,390.49 = 105,230.34/x
  3. Step 3: Cross multiply
    164,846.34x = 227,390.49 × 105,230.34
  4. Step 4: Simplify right side
    164,846.34x = 23,928,378,575.47
  5. Step 5: Solve for x
    x = 23,928,378,575.47/164,846.34
  6. Step 6: Final answer
    x = 145,155.66

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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.