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Finding the Fourth Proportional to 200,996.02, 277,364.10 and 119,327.68

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Solution

The fourth proportional to 200,996.02, 277,364.10 and 119,327.68 is: 164,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,996.02 : 277,364.10 = 119,327.68 : x
  2. Step 2: Convert to fraction form
    200,996.02/277,364.10 = 119,327.68/x
  3. Step 3: Cross multiply
    200,996.02x = 277,364.10 × 119,327.68
  4. Step 4: Simplify right side
    200,996.02x = 33,097,214,568.29
  5. Step 5: Solve for x
    x = 33,097,214,568.29/200,996.02
  6. Step 6: Final answer
    x = 164,666.02

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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.