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Finding the Fourth Proportional to 107,970.89, 148,999.74 and 60,224.22

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Solution

The fourth proportional to 107,970.89, 148,999.74 and 60,224.22 is: 83,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,970.89 : 148,999.74 = 60,224.22 : x
  2. Step 2: Convert to fraction form
    107,970.89/148,999.74 = 60,224.22/x
  3. Step 3: Cross multiply
    107,970.89x = 148,999.74 × 60,224.22
  4. Step 4: Simplify right side
    107,970.89x = 8,973,393,121.70
  5. Step 5: Solve for x
    x = 8,973,393,121.70/107,970.89
  6. Step 6: Final answer
    x = 83,109.38

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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.