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Finding the Fourth Proportional to 103,114.64, 154,673.40 and 29,242.64

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Solution

The fourth proportional to 103,114.64, 154,673.40 and 29,242.64 is: 43,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,114.64 : 154,673.40 = 29,242.64 : x
  2. Step 2: Convert to fraction form
    103,114.64/154,673.40 = 29,242.64/x
  3. Step 3: Cross multiply
    103,114.64x = 154,673.40 × 29,242.64
  4. Step 4: Simplify right side
    103,114.64x = 4,523,058,553.78
  5. Step 5: Solve for x
    x = 4,523,058,553.78/103,114.64
  6. Step 6: Final answer
    x = 43,864.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.