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Finding the Fourth Proportional to 217,090.41, 299,576.07 and 121,592.22

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Solution

The fourth proportional to 217,090.41, 299,576.07 and 121,592.22 is: 167,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,090.41 : 299,576.07 = 121,592.22 : x
  2. Step 2: Convert to fraction form
    217,090.41/299,576.07 = 121,592.22/x
  3. Step 3: Cross multiply
    217,090.41x = 299,576.07 × 121,592.22
  4. Step 4: Simplify right side
    217,090.41x = 36,426,119,410.18
  5. Step 5: Solve for x
    x = 36,426,119,410.18/217,090.41
  6. Step 6: Final answer
    x = 167,792.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.