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Finding the Fourth Proportional to 139,841.70, 192,905.73 and 83,242.14

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Solution

The fourth proportional to 139,841.70, 192,905.73 and 83,242.14 is: 114,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,841.70 : 192,905.73 = 83,242.14 : x
  2. Step 2: Convert to fraction form
    139,841.70/192,905.73 = 83,242.14/x
  3. Step 3: Cross multiply
    139,841.70x = 192,905.73 × 83,242.14
  4. Step 4: Simplify right side
    139,841.70x = 16,057,885,783.46
  5. Step 5: Solve for x
    x = 16,057,885,783.46/139,841.70
  6. Step 6: Final answer
    x = 114,829.02

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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.