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Finding the Fourth Proportional to 144,693.40, 217,040.10 and 51,208.60

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Solution

The fourth proportional to 144,693.40, 217,040.10 and 51,208.60 is: 76,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,693.40 : 217,040.10 = 51,208.60 : x
  2. Step 2: Convert to fraction form
    144,693.40/217,040.10 = 51,208.60/x
  3. Step 3: Cross multiply
    144,693.40x = 217,040.10 × 51,208.60
  4. Step 4: Simplify right side
    144,693.40x = 11,114,319,664.86
  5. Step 5: Solve for x
    x = 11,114,319,664.86/144,693.40
  6. Step 6: Final answer
    x = 76,812.90

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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.