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Finding the Fourth Proportional to 211,224.16, 291,478.18 and 120,576.52

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Solution

The fourth proportional to 211,224.16, 291,478.18 and 120,576.52 is: 166,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,224.16 : 291,478.18 = 120,576.52 : x
  2. Step 2: Convert to fraction form
    211,224.16/291,478.18 = 120,576.52/x
  3. Step 3: Cross multiply
    211,224.16x = 291,478.18 × 120,576.52
  4. Step 4: Simplify right side
    211,224.16x = 35,145,424,600.33
  5. Step 5: Solve for x
    x = 35,145,424,600.33/211,224.16
  6. Step 6: Final answer
    x = 166,389.23

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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.