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Finding the Fourth Proportional to 151,097.44, 208,521.84 and 84,028

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Solution

The fourth proportional to 151,097.44, 208,521.84 and 84,028 is: 115,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,097.44 : 208,521.84 = 84,028 : x
  2. Step 2: Convert to fraction form
    151,097.44/208,521.84 = 84,028/x
  3. Step 3: Cross multiply
    151,097.44x = 208,521.84 × 84,028
  4. Step 4: Simplify right side
    151,097.44x = 17,521,673,171.52
  5. Step 5: Solve for x
    x = 17,521,673,171.52/151,097.44
  6. Step 6: Final answer
    x = 115,962.74

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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.