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Finding the Fourth Proportional to 200,990.02, 277,355.82 and 119,321.68

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Solution

The fourth proportional to 200,990.02, 277,355.82 and 119,321.68 is: 164,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,990.02 : 277,355.82 = 119,321.68 : x
  2. Step 2: Convert to fraction form
    200,990.02/277,355.82 = 119,321.68/x
  3. Step 3: Cross multiply
    200,990.02x = 277,355.82 × 119,321.68
  4. Step 4: Simplify right side
    200,990.02x = 33,094,562,400.18
  5. Step 5: Solve for x
    x = 33,094,562,400.18/200,990.02
  6. Step 6: Final answer
    x = 164,657.74

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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.