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Finding the Fourth Proportional to 210,905.52, 291,049.64 and 115,412.23

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Solution

The fourth proportional to 210,905.52, 291,049.64 and 115,412.23 is: 159,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,905.52 : 291,049.64 = 115,412.23 : x
  2. Step 2: Convert to fraction form
    210,905.52/291,049.64 = 115,412.23/x
  3. Step 3: Cross multiply
    210,905.52x = 291,049.64 × 115,412.23
  4. Step 4: Simplify right side
    210,905.52x = 33,590,687,993.10
  5. Step 5: Solve for x
    x = 33,590,687,993.10/210,905.52
  6. Step 6: Final answer
    x = 159,268.89

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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.