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Finding the Fourth Proportional to 210,120.74, 289,967.29 and 114,629.43

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Solution

The fourth proportional to 210,120.74, 289,967.29 and 114,629.43 is: 158,188.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,120.74 : 289,967.29 = 114,629.43 : x
  2. Step 2: Convert to fraction form
    210,120.74/289,967.29 = 114,629.43/x
  3. Step 3: Cross multiply
    210,120.74x = 289,967.29 × 114,629.43
  4. Step 4: Simplify right side
    210,120.74x = 33,238,785,171.34
  5. Step 5: Solve for x
    x = 33,238,785,171.34/210,120.74
  6. Step 6: Final answer
    x = 158,188.98

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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.