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Finding the Fourth Proportional to 210,840.09, 290,959.18 and 115,346.80

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Solution

The fourth proportional to 210,840.09, 290,959.18 and 115,346.80 is: 159,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,840.09 : 290,959.18 = 115,346.80 : x
  2. Step 2: Convert to fraction form
    210,840.09/290,959.18 = 115,346.80/x
  3. Step 3: Cross multiply
    210,840.09x = 290,959.18 × 115,346.80
  4. Step 4: Simplify right side
    210,840.09x = 33,561,210,343.62
  5. Step 5: Solve for x
    x = 33,561,210,343.62/210,840.09
  6. Step 6: Final answer
    x = 159,178.51

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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.