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Finding the Fourth Proportional to 169,824.32, 254,348 and 81,140.16

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Solution

The fourth proportional to 169,824.32, 254,348 and 81,140.16 is: 121,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824.32 : 254,348 = 81,140.16 : x
  2. Step 2: Convert to fraction form
    169,824.32/254,348 = 81,140.16/x
  3. Step 3: Cross multiply
    169,824.32x = 254,348 × 81,140.16
  4. Step 4: Simplify right side
    169,824.32x = 20,637,837,415.68
  5. Step 5: Solve for x
    x = 20,637,837,415.68/169,824.32
  6. Step 6: Final answer
    x = 121,524.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.