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Finding the Fourth Proportional to 188,093.59, 259,569.16 and 107,522.91

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Solution

The fourth proportional to 188,093.59, 259,569.16 and 107,522.91 is: 148,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,093.59 : 259,569.16 = 107,522.91 : x
  2. Step 2: Convert to fraction form
    188,093.59/259,569.16 = 107,522.91/x
  3. Step 3: Cross multiply
    188,093.59x = 259,569.16 × 107,522.91
  4. Step 4: Simplify right side
    188,093.59x = 27,909,631,429.46
  5. Step 5: Solve for x
    x = 27,909,631,429.46/188,093.59
  6. Step 6: Final answer
    x = 148,381.62

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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.