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Finding the Fourth Proportional to 200,989.02, 277,354.44 and 119,320.68

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Solution

The fourth proportional to 200,989.02, 277,354.44 and 119,320.68 is: 164,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,989.02 : 277,354.44 = 119,320.68 : x
  2. Step 2: Convert to fraction form
    200,989.02/277,354.44 = 119,320.68/x
  3. Step 3: Cross multiply
    200,989.02x = 277,354.44 × 119,320.68
  4. Step 4: Simplify right side
    200,989.02x = 33,094,120,381.82
  5. Step 5: Solve for x
    x = 33,094,120,381.82/200,989.02
  6. Step 6: Final answer
    x = 164,656.36

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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.