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Finding the Fourth Proportional to 210,558.52, 290,558.42 and 115,065.96

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Solution

The fourth proportional to 210,558.52, 290,558.42 and 115,065.96 is: 158,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,558.52 : 290,558.42 = 115,065.96 : x
  2. Step 2: Convert to fraction form
    210,558.52/290,558.42 = 115,065.96/x
  3. Step 3: Cross multiply
    210,558.52x = 290,558.42 × 115,065.96
  4. Step 4: Simplify right side
    210,558.52x = 33,433,383,533.38
  5. Step 5: Solve for x
    x = 33,433,383,533.38/210,558.52
  6. Step 6: Final answer
    x = 158,784.28

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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.