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Finding the Fourth Proportional to 201,298.35, 277,802.42 and 120,729.27

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Solution

The fourth proportional to 201,298.35, 277,802.42 and 120,729.27 is: 166,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,298.35 : 277,802.42 = 120,729.27 : x
  2. Step 2: Convert to fraction form
    201,298.35/277,802.42 = 120,729.27/x
  3. Step 3: Cross multiply
    201,298.35x = 277,802.42 × 120,729.27
  4. Step 4: Simplify right side
    201,298.35x = 33,538,882,767.19
  5. Step 5: Solve for x
    x = 33,538,882,767.19/201,298.35
  6. Step 6: Final answer
    x = 166,612.81

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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.