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Finding the Fourth Proportional to 134,819, 186,050.22 and 75,203

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Solution

The fourth proportional to 134,819, 186,050.22 and 75,203 is: 103,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,819 : 186,050.22 = 75,203 : x
  2. Step 2: Convert to fraction form
    134,819/186,050.22 = 75,203/x
  3. Step 3: Cross multiply
    134,819x = 186,050.22 × 75,203
  4. Step 4: Simplify right side
    134,819x = 13,991,534,694.66
  5. Step 5: Solve for x
    x = 13,991,534,694.66/134,819
  6. Step 6: Final answer
    x = 103,780.14

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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.