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Finding the Fourth Proportional to 217,090.40, 299,576.07 and 121,592.21

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Solution

The fourth proportional to 217,090.40, 299,576.07 and 121,592.21 is: 167,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,090.40 : 299,576.07 = 121,592.21 : x
  2. Step 2: Convert to fraction form
    217,090.40/299,576.07 = 121,592.21/x
  3. Step 3: Cross multiply
    217,090.40x = 299,576.07 × 121,592.21
  4. Step 4: Simplify right side
    217,090.40x = 36,426,114,916.53
  5. Step 5: Solve for x
    x = 36,426,114,916.53/217,090.40
  6. Step 6: Final answer
    x = 167,792.38

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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.