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Finding the Fourth Proportional to 277,488.45, 382,935.02 and 150,164.01

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Solution

The fourth proportional to 277,488.45, 382,935.02 and 150,164.01 is: 207,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,488.45 : 382,935.02 = 150,164.01 : x
  2. Step 2: Convert to fraction form
    277,488.45/382,935.02 = 150,164.01/x
  3. Step 3: Cross multiply
    277,488.45x = 382,935.02 × 150,164.01
  4. Step 4: Simplify right side
    277,488.45x = 57,503,057,421.81
  5. Step 5: Solve for x
    x = 57,503,057,421.81/277,488.45
  6. Step 6: Final answer
    x = 207,226.85

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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.