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Finding the Fourth Proportional to 277,902.64, 383,507.40 and 150,579.16

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Solution

The fourth proportional to 277,902.64, 383,507.40 and 150,579.16 is: 207,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,902.64 : 383,507.40 = 150,579.16 : x
  2. Step 2: Convert to fraction form
    277,902.64/383,507.40 = 150,579.16/x
  3. Step 3: Cross multiply
    277,902.64x = 383,507.40 × 150,579.16
  4. Step 4: Simplify right side
    277,902.64x = 57,748,222,145.78
  5. Step 5: Solve for x
    x = 57,748,222,145.78/277,902.64
  6. Step 6: Final answer
    x = 207,800.19

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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.