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Finding the Fourth Proportional to 210,451.84, 290,418.82 and 114,958.91

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Solution

The fourth proportional to 210,451.84, 290,418.82 and 114,958.91 is: 158,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,451.84 : 290,418.82 = 114,958.91 : x
  2. Step 2: Convert to fraction form
    210,451.84/290,418.82 = 114,958.91/x
  3. Step 3: Cross multiply
    210,451.84x = 290,418.82 × 114,958.91
  4. Step 4: Simplify right side
    210,451.84x = 33,386,231,429.34
  5. Step 5: Solve for x
    x = 33,386,231,429.34/210,451.84
  6. Step 6: Final answer
    x = 158,640.72

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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.