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Finding the Fourth Proportional to 302,012.72, 416,782.72 and 166,052.24

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Solution

The fourth proportional to 302,012.72, 416,782.72 and 166,052.24 is: 229,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,012.72 : 416,782.72 = 166,052.24 : x
  2. Step 2: Convert to fraction form
    302,012.72/416,782.72 = 166,052.24/x
  3. Step 3: Cross multiply
    302,012.72x = 416,782.72 × 166,052.24
  4. Step 4: Simplify right side
    302,012.72x = 69,207,704,249.29
  5. Step 5: Solve for x
    x = 69,207,704,249.29/302,012.72
  6. Step 6: Final answer
    x = 229,154.93

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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.