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Finding the Fourth Proportional to 188,295.17, 259,846.33 and 102,253.40

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Solution

The fourth proportional to 188,295.17, 259,846.33 and 102,253.40 is: 141,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,295.17 : 259,846.33 = 102,253.40 : x
  2. Step 2: Convert to fraction form
    188,295.17/259,846.33 = 102,253.40/x
  3. Step 3: Cross multiply
    188,295.17x = 259,846.33 × 102,253.40
  4. Step 4: Simplify right side
    188,295.17x = 26,570,170,720.02
  5. Step 5: Solve for x
    x = 26,570,170,720.02/188,295.17
  6. Step 6: Final answer
    x = 141,109.15

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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.