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Finding the Fourth Proportional to 210,178.38, 290,053.17 and 114,690.32

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Solution

The fourth proportional to 210,178.38, 290,053.17 and 114,690.32 is: 158,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,178.38 : 290,053.17 = 114,690.32 : x
  2. Step 2: Convert to fraction form
    210,178.38/290,053.17 = 114,690.32/x
  3. Step 3: Cross multiply
    210,178.38x = 290,053.17 × 114,690.32
  4. Step 4: Simplify right side
    210,178.38x = 33,266,290,884.31
  5. Step 5: Solve for x
    x = 33,266,290,884.31/210,178.38
  6. Step 6: Final answer
    x = 158,276.46

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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.