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Finding the Fourth Proportional to 210,091.36, 289,930 and 114,601.44

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Solution

The fourth proportional to 210,091.36, 289,930 and 114,601.44 is: 158,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,091.36 : 289,930 = 114,601.44 : x
  2. Step 2: Convert to fraction form
    210,091.36/289,930 = 114,601.44/x
  3. Step 3: Cross multiply
    210,091.36x = 289,930 × 114,601.44
  4. Step 4: Simplify right side
    210,091.36x = 33,226,395,499.20
  5. Step 5: Solve for x
    x = 33,226,395,499.20/210,091.36
  6. Step 6: Final answer
    x = 158,152.13

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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.