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Finding the Fourth Proportional to 122,782.14, 169,391.38 and 69,054.84

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Solution

The fourth proportional to 122,782.14, 169,391.38 and 69,054.84 is: 95,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,782.14 : 169,391.38 = 69,054.84 : x
  2. Step 2: Convert to fraction form
    122,782.14/169,391.38 = 69,054.84/x
  3. Step 3: Cross multiply
    122,782.14x = 169,391.38 × 69,054.84
  4. Step 4: Simplify right side
    122,782.14x = 11,697,294,643.28
  5. Step 5: Solve for x
    x = 11,697,294,643.28/122,782.14
  6. Step 6: Final answer
    x = 95,268.70

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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.