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Finding the Fourth Proportional to 277,530.71, 382,992.38 and 150,206.31

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Solution

The fourth proportional to 277,530.71, 382,992.38 and 150,206.31 is: 207,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,530.71 : 382,992.38 = 150,206.31 : x
  2. Step 2: Convert to fraction form
    277,530.71/382,992.38 = 150,206.31/x
  3. Step 3: Cross multiply
    277,530.71x = 382,992.38 × 150,206.31
  4. Step 4: Simplify right side
    277,530.71x = 57,527,871,406.89
  5. Step 5: Solve for x
    x = 57,527,871,406.89/277,530.71
  6. Step 6: Final answer
    x = 207,284.70

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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.