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Finding the Fourth Proportional to 122,921.68, 169,275 and 106,781.64

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Solution

The fourth proportional to 122,921.68, 169,275 and 106,781.64 is: 147,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,921.68 : 169,275 = 106,781.64 : x
  2. Step 2: Convert to fraction form
    122,921.68/169,275 = 106,781.64/x
  3. Step 3: Cross multiply
    122,921.68x = 169,275 × 106,781.64
  4. Step 4: Simplify right side
    122,921.68x = 18,075,462,111
  5. Step 5: Solve for x
    x = 18,075,462,111/122,921.68
  6. Step 6: Final answer
    x = 147,048.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.