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Finding the Fourth Proportional to 213,700.60, 294,997.56 and 133,167.88

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Solution

The fourth proportional to 213,700.60, 294,997.56 and 133,167.88 is: 183,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,700.60 : 294,997.56 = 133,167.88 : x
  2. Step 2: Convert to fraction form
    213,700.60/294,997.56 = 133,167.88/x
  3. Step 3: Cross multiply
    213,700.60x = 294,997.56 × 133,167.88
  4. Step 4: Simplify right side
    213,700.60x = 39,284,199,670.37
  5. Step 5: Solve for x
    x = 39,284,199,670.37/213,700.60
  6. Step 6: Final answer
    x = 183,828.21

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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.