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Finding the Fourth Proportional to 302,034.64, 416,796.59 and 166,060.50

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Solution

The fourth proportional to 302,034.64, 416,796.59 and 166,060.50 is: 229,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,034.64 : 416,796.59 = 166,060.50 : x
  2. Step 2: Convert to fraction form
    302,034.64/416,796.59 = 166,060.50/x
  3. Step 3: Cross multiply
    302,034.64x = 416,796.59 × 166,060.50
  4. Step 4: Simplify right side
    302,034.64x = 69,213,448,049.71
  5. Step 5: Solve for x
    x = 69,213,448,049.71/302,034.64
  6. Step 6: Final answer
    x = 229,157.32

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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.