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Finding the Fourth Proportional to 210,120.51, 289,966.99 and 114,629.21

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Solution

The fourth proportional to 210,120.51, 289,966.99 and 114,629.21 is: 158,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,120.51 : 289,966.99 = 114,629.21 : x
  2. Step 2: Convert to fraction form
    210,120.51/289,966.99 = 114,629.21/x
  3. Step 3: Cross multiply
    210,120.51x = 289,966.99 × 114,629.21
  4. Step 4: Simplify right side
    210,120.51x = 33,238,686,555.68
  5. Step 5: Solve for x
    x = 33,238,686,555.68/210,120.51
  6. Step 6: Final answer
    x = 158,188.68

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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.