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Finding the Fourth Proportional to 210,448.80, 290,426.40 and 114,964.38

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Solution

The fourth proportional to 210,448.80, 290,426.40 and 114,964.38 is: 158,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,448.80 : 290,426.40 = 114,964.38 : x
  2. Step 2: Convert to fraction form
    210,448.80/290,426.40 = 114,964.38/x
  3. Step 3: Cross multiply
    210,448.80x = 290,426.40 × 114,964.38
  4. Step 4: Simplify right side
    210,448.80x = 33,388,691,011.63
  5. Step 5: Solve for x
    x = 33,388,691,011.63/210,448.80
  6. Step 6: Final answer
    x = 158,654.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.