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Finding the Fourth Proportional to 151,382.58, 208,924.38 and 83,406.53

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Solution

The fourth proportional to 151,382.58, 208,924.38 and 83,406.53 is: 115,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,382.58 : 208,924.38 = 83,406.53 : x
  2. Step 2: Convert to fraction form
    151,382.58/208,924.38 = 83,406.53/x
  3. Step 3: Cross multiply
    151,382.58x = 208,924.38 × 83,406.53
  4. Step 4: Simplify right side
    151,382.58x = 17,425,656,523.58
  5. Step 5: Solve for x
    x = 17,425,656,523.58/151,382.58
  6. Step 6: Final answer
    x = 115,110.05

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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.