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Finding the Fourth Proportional to 210,542.88, 290,550.24 and 115,051.20

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Solution

The fourth proportional to 210,542.88, 290,550.24 and 115,051.20 is: 158,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,542.88 : 290,550.24 = 115,051.20 : x
  2. Step 2: Convert to fraction form
    210,542.88/290,550.24 = 115,051.20/x
  3. Step 3: Cross multiply
    210,542.88x = 290,550.24 × 115,051.20
  4. Step 4: Simplify right side
    210,542.88x = 33,428,153,772.29
  5. Step 5: Solve for x
    x = 33,428,153,772.29/210,542.88
  6. Step 6: Final answer
    x = 158,771.24

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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.