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Finding the Fourth Proportional to 210,458.46, 290,439.04 and 114,971.31

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Solution

The fourth proportional to 210,458.46, 290,439.04 and 114,971.31 is: 158,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,458.46 : 290,439.04 = 114,971.31 : x
  2. Step 2: Convert to fraction form
    210,458.46/290,439.04 = 114,971.31/x
  3. Step 3: Cross multiply
    210,458.46x = 290,439.04 × 114,971.31
  4. Step 4: Simplify right side
    210,458.46x = 33,392,156,903.94
  5. Step 5: Solve for x
    x = 33,392,156,903.94/210,458.46
  6. Step 6: Final answer
    x = 158,663.89

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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.