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Finding the Fourth Proportional to 152,794, 210,833.25 and 84,811.49

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Solution

The fourth proportional to 152,794, 210,833.25 and 84,811.49 is: 117,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,794 : 210,833.25 = 84,811.49 : x
  2. Step 2: Convert to fraction form
    152,794/210,833.25 = 84,811.49/x
  3. Step 3: Cross multiply
    152,794x = 210,833.25 × 84,811.49
  4. Step 4: Simplify right side
    152,794x = 17,881,082,074.04
  5. Step 5: Solve for x
    x = 17,881,082,074.04/152,794
  6. Step 6: Final answer
    x = 117,027.38

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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.