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Finding the Fourth Proportional to 210,592.75, 290,617.46 and 115,100.10

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Solution

The fourth proportional to 210,592.75, 290,617.46 and 115,100.10 is: 158,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,592.75 : 290,617.46 = 115,100.10 : x
  2. Step 2: Convert to fraction form
    210,592.75/290,617.46 = 115,100.10/x
  3. Step 3: Cross multiply
    210,592.75x = 290,617.46 × 115,100.10
  4. Step 4: Simplify right side
    210,592.75x = 33,450,096,679.16
  5. Step 5: Solve for x
    x = 33,450,096,679.16/210,592.75
  6. Step 6: Final answer
    x = 158,837.84

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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.