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Finding the Fourth Proportional to 182,242.64, 251,359.02 and 133,829.30

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Solution

The fourth proportional to 182,242.64, 251,359.02 and 133,829.30 is: 184,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,242.64 : 251,359.02 = 133,829.30 : x
  2. Step 2: Convert to fraction form
    182,242.64/251,359.02 = 133,829.30/x
  3. Step 3: Cross multiply
    182,242.64x = 251,359.02 × 133,829.30
  4. Step 4: Simplify right side
    182,242.64x = 33,639,201,695.29
  5. Step 5: Solve for x
    x = 33,639,201,695.29/182,242.64
  6. Step 6: Final answer
    x = 184,584.69

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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.