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Finding the Fourth Proportional to 210,456.93, 290,419.72 and 114,945.18

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Solution

The fourth proportional to 210,456.93, 290,419.72 and 114,945.18 is: 158,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,456.93 : 290,419.72 = 114,945.18 : x
  2. Step 2: Convert to fraction form
    210,456.93/290,419.72 = 114,945.18/x
  3. Step 3: Cross multiply
    210,456.93x = 290,419.72 × 114,945.18
  4. Step 4: Simplify right side
    210,456.93x = 33,382,346,990.95
  5. Step 5: Solve for x
    x = 33,382,346,990.95/210,456.93
  6. Step 6: Final answer
    x = 158,618.43

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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.