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Finding the Fourth Proportional to 140,824.69, 194,303.33 and 83,477.45

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Solution

The fourth proportional to 140,824.69, 194,303.33 and 83,477.45 is: 115,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,824.69 : 194,303.33 = 83,477.45 : x
  2. Step 2: Convert to fraction form
    140,824.69/194,303.33 = 83,477.45/x
  3. Step 3: Cross multiply
    140,824.69x = 194,303.33 × 83,477.45
  4. Step 4: Simplify right side
    140,824.69x = 16,219,946,311.38
  5. Step 5: Solve for x
    x = 16,219,946,311.38/140,824.69
  6. Step 6: Final answer
    x = 115,178.29

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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.