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Finding the Fourth Proportional to 210,022.26, 289,826.26 and 114,526.90

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Solution

The fourth proportional to 210,022.26, 289,826.26 and 114,526.90 is: 158,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,022.26 : 289,826.26 = 114,526.90 : x
  2. Step 2: Convert to fraction form
    210,022.26/289,826.26 = 114,526.90/x
  3. Step 3: Cross multiply
    210,022.26x = 289,826.26 × 114,526.90
  4. Step 4: Simplify right side
    210,022.26x = 33,192,903,096.39
  5. Step 5: Solve for x
    x = 33,192,903,096.39/210,022.26
  6. Step 6: Final answer
    x = 158,044.69

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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.