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Finding the Fourth Proportional to 210,786.86, 290,883.75 and 115,295.42

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Solution

The fourth proportional to 210,786.86, 290,883.75 and 115,295.42 is: 159,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,786.86 : 290,883.75 = 115,295.42 : x
  2. Step 2: Convert to fraction form
    210,786.86/290,883.75 = 115,295.42/x
  3. Step 3: Cross multiply
    210,786.86x = 290,883.75 × 115,295.42
  4. Step 4: Simplify right side
    210,786.86x = 33,537,564,127.43
  5. Step 5: Solve for x
    x = 33,537,564,127.43/210,786.86
  6. Step 6: Final answer
    x = 159,106.52

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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.