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Finding the Fourth Proportional to 210,858.85, 290,985.92 and 115,365.25

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Solution

The fourth proportional to 210,858.85, 290,985.92 and 115,365.25 is: 159,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,858.85 : 290,985.92 = 115,365.25 : x
  2. Step 2: Convert to fraction form
    210,858.85/290,985.92 = 115,365.25/x
  3. Step 3: Cross multiply
    210,858.85x = 290,985.92 × 115,365.25
  4. Step 4: Simplify right side
    210,858.85x = 33,569,663,407.28
  5. Step 5: Solve for x
    x = 33,569,663,407.28/210,858.85
  6. Step 6: Final answer
    x = 159,204.43

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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.