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Finding the Fourth Proportional to 210,188.40, 290,054.52 and 114,696.24

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Solution

The fourth proportional to 210,188.40, 290,054.52 and 114,696.24 is: 158,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,188.40 : 290,054.52 = 114,696.24 : x
  2. Step 2: Convert to fraction form
    210,188.40/290,054.52 = 114,696.24/x
  3. Step 3: Cross multiply
    210,188.40x = 290,054.52 × 114,696.24
  4. Step 4: Simplify right side
    210,188.40x = 33,268,162,839.00
  5. Step 5: Solve for x
    x = 33,268,162,839.00/210,188.40
  6. Step 6: Final answer
    x = 158,277.83

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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.