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Finding the Fourth Proportional to 188,269.56, 259,839.18 and 112,825.08

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Solution

The fourth proportional to 188,269.56, 259,839.18 and 112,825.08 is: 155,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,269.56 : 259,839.18 = 112,825.08 : x
  2. Step 2: Convert to fraction form
    188,269.56/259,839.18 = 112,825.08/x
  3. Step 3: Cross multiply
    188,269.56x = 259,839.18 × 112,825.08
  4. Step 4: Simplify right side
    188,269.56x = 29,316,376,270.63
  5. Step 5: Solve for x
    x = 29,316,376,270.63/188,269.56
  6. Step 6: Final answer
    x = 155,714.90

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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.