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Finding the Fourth Proportional to 277,705.72, 383,233.80 and 150,381.28

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Solution

The fourth proportional to 277,705.72, 383,233.80 and 150,381.28 is: 207,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,705.72 : 383,233.80 = 150,381.28 : x
  2. Step 2: Convert to fraction form
    277,705.72/383,233.80 = 150,381.28/x
  3. Step 3: Cross multiply
    277,705.72x = 383,233.80 × 150,381.28
  4. Step 4: Simplify right side
    277,705.72x = 57,631,189,383.26
  5. Step 5: Solve for x
    x = 57,631,189,383.26/277,705.72
  6. Step 6: Final answer
    x = 207,526.12

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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.