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Finding the Fourth Proportional to 188,375.56, 259,955.40 and 102,334.12

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Solution

The fourth proportional to 188,375.56, 259,955.40 and 102,334.12 is: 141,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,375.56 : 259,955.40 = 102,334.12 : x
  2. Step 2: Convert to fraction form
    188,375.56/259,955.40 = 102,334.12/x
  3. Step 3: Cross multiply
    188,375.56x = 259,955.40 × 102,334.12
  4. Step 4: Simplify right side
    188,375.56x = 26,602,307,098.25
  5. Step 5: Solve for x
    x = 26,602,307,098.25/188,375.56
  6. Step 6: Final answer
    x = 141,219.52

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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.