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Finding the Fourth Proportional to 185,921.40, 256,477.09 and 121,428.42

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Solution

The fourth proportional to 185,921.40, 256,477.09 and 121,428.42 is: 167,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,921.40 : 256,477.09 = 121,428.42 : x
  2. Step 2: Convert to fraction form
    185,921.40/256,477.09 = 121,428.42/x
  3. Step 3: Cross multiply
    185,921.40x = 256,477.09 × 121,428.42
  4. Step 4: Simplify right side
    185,921.40x = 31,143,608,048.31
  5. Step 5: Solve for x
    x = 31,143,608,048.31/185,921.40
  6. Step 6: Final answer
    x = 167,509.54

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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.