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Finding the Fourth Proportional to 210,434.40, 290,405.76 and 114,945.60

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Solution

The fourth proportional to 210,434.40, 290,405.76 and 114,945.60 is: 158,628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,434.40 : 290,405.76 = 114,945.60 : x
  2. Step 2: Convert to fraction form
    210,434.40/290,405.76 = 114,945.60/x
  3. Step 3: Cross multiply
    210,434.40x = 290,405.76 × 114,945.60
  4. Step 4: Simplify right side
    210,434.40x = 33,380,864,326.66
  5. Step 5: Solve for x
    x = 33,380,864,326.66/210,434.40
  6. Step 6: Final answer
    x = 158,628.36

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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.