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Finding the Fourth Proportional to 103,097, 142,274.13 and 60,102.02

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Solution

The fourth proportional to 103,097, 142,274.13 and 60,102.02 is: 82,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,097 : 142,274.13 = 60,102.02 : x
  2. Step 2: Convert to fraction form
    103,097/142,274.13 = 60,102.02/x
  3. Step 3: Cross multiply
    103,097x = 142,274.13 × 60,102.02
  4. Step 4: Simplify right side
    103,097x = 8,550,962,606.74
  5. Step 5: Solve for x
    x = 8,550,962,606.74/103,097
  6. Step 6: Final answer
    x = 82,940.95

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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.