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Finding the Fourth Proportional to 301,996.14, 416,744.05 and 166,029.10

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Solution

The fourth proportional to 301,996.14, 416,744.05 and 166,029.10 is: 229,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,996.14 : 416,744.05 = 166,029.10 : x
  2. Step 2: Convert to fraction form
    301,996.14/416,744.05 = 166,029.10/x
  3. Step 3: Cross multiply
    301,996.14x = 416,744.05 × 166,029.10
  4. Step 4: Simplify right side
    301,996.14x = 69,191,639,551.86
  5. Step 5: Solve for x
    x = 69,191,639,551.86/301,996.14
  6. Step 6: Final answer
    x = 229,114.32

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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.