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Finding the Fourth Proportional to 210,338.82, 290,279.34 and 114,854.40

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Solution

The fourth proportional to 210,338.82, 290,279.34 and 114,854.40 is: 158,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,338.82 : 290,279.34 = 114,854.40 : x
  2. Step 2: Convert to fraction form
    210,338.82/290,279.34 = 114,854.40/x
  3. Step 3: Cross multiply
    210,338.82x = 290,279.34 × 114,854.40
  4. Step 4: Simplify right side
    210,338.82x = 33,339,859,428.10
  5. Step 5: Solve for x
    x = 33,339,859,428.10/210,338.82
  6. Step 6: Final answer
    x = 158,505.50

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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.