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Finding the Fourth Proportional to 151,093.44, 208,516.32 and 84,024

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Solution

The fourth proportional to 151,093.44, 208,516.32 and 84,024 is: 115,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,093.44 : 208,516.32 = 84,024 : x
  2. Step 2: Convert to fraction form
    151,093.44/208,516.32 = 84,024/x
  3. Step 3: Cross multiply
    151,093.44x = 208,516.32 × 84,024
  4. Step 4: Simplify right side
    151,093.44x = 17,520,375,271.68
  5. Step 5: Solve for x
    x = 17,520,375,271.68/151,093.44
  6. Step 6: Final answer
    x = 115,957.22

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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.