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Finding the Fourth Proportional to 210,515.38, 290,507.83 and 115,020.02

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Solution

The fourth proportional to 210,515.38, 290,507.83 and 115,020.02 is: 158,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,515.38 : 290,507.83 = 115,020.02 : x
  2. Step 2: Convert to fraction form
    210,515.38/290,507.83 = 115,020.02/x
  3. Step 3: Cross multiply
    210,515.38x = 290,507.83 × 115,020.02
  4. Step 4: Simplify right side
    210,515.38x = 33,414,216,416.76
  5. Step 5: Solve for x
    x = 33,414,216,416.76/210,515.38
  6. Step 6: Final answer
    x = 158,725.77

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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.