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Finding the Fourth Proportional to 111,442.92, 166,006.11 and 105,406.68

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Solution

The fourth proportional to 111,442.92, 166,006.11 and 105,406.68 is: 157,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,442.92 : 166,006.11 = 105,406.68 : x
  2. Step 2: Convert to fraction form
    111,442.92/166,006.11 = 105,406.68/x
  3. Step 3: Cross multiply
    111,442.92x = 166,006.11 × 105,406.68
  4. Step 4: Simplify right side
    111,442.92x = 17,498,152,914.81
  5. Step 5: Solve for x
    x = 17,498,152,914.81/111,442.92
  6. Step 6: Final answer
    x = 157,014.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.