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Finding the Fourth Proportional to 188,401.84, 259,993.80 and 107,829.04

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Solution

The fourth proportional to 188,401.84, 259,993.80 and 107,829.04 is: 148,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,401.84 : 259,993.80 = 107,829.04 : x
  2. Step 2: Convert to fraction form
    188,401.84/259,993.80 = 107,829.04/x
  3. Step 3: Cross multiply
    188,401.84x = 259,993.80 × 107,829.04
  4. Step 4: Simplify right side
    188,401.84x = 28,034,881,859.95
  5. Step 5: Solve for x
    x = 28,034,881,859.95/188,401.84
  6. Step 6: Final answer
    x = 148,803.65

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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.