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Finding the Fourth Proportional to 182,857.53, 252,241.78 and 106,368.02

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Solution

The fourth proportional to 182,857.53, 252,241.78 and 106,368.02 is: 146,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,857.53 : 252,241.78 = 106,368.02 : x
  2. Step 2: Convert to fraction form
    182,857.53/252,241.78 = 106,368.02/x
  3. Step 3: Cross multiply
    182,857.53x = 252,241.78 × 106,368.02
  4. Step 4: Simplify right side
    182,857.53x = 26,830,458,699.88
  5. Step 5: Solve for x
    x = 26,830,458,699.88/182,857.53
  6. Step 6: Final answer
    x = 146,728.76

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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.