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Finding the Fourth Proportional to 277,530.96, 382,992.72 and 150,206.56

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Solution

The fourth proportional to 277,530.96, 382,992.72 and 150,206.56 is: 207,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,530.96 : 382,992.72 = 150,206.56 : x
  2. Step 2: Convert to fraction form
    277,530.96/382,992.72 = 150,206.56/x
  3. Step 3: Cross multiply
    277,530.96x = 382,992.72 × 150,206.56
  4. Step 4: Simplify right side
    277,530.96x = 57,528,018,976.24
  5. Step 5: Solve for x
    x = 57,528,018,976.24/277,530.96
  6. Step 6: Final answer
    x = 207,285.05

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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.