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Finding the Fourth Proportional to 210,706.66, 290,775.18 and 115,213.42

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Solution

The fourth proportional to 210,706.66, 290,775.18 and 115,213.42 is: 158,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,706.66 : 290,775.18 = 115,213.42 : x
  2. Step 2: Convert to fraction form
    210,706.66/290,775.18 = 115,213.42/x
  3. Step 3: Cross multiply
    210,706.66x = 290,775.18 × 115,213.42
  4. Step 4: Simplify right side
    210,706.66x = 33,501,202,938.92
  5. Step 5: Solve for x
    x = 33,501,202,938.92/210,706.66
  6. Step 6: Final answer
    x = 158,994.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.