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Finding the Fourth Proportional to 277,506, 382,958.28 and 150,182.51

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Solution

The fourth proportional to 277,506, 382,958.28 and 150,182.51 is: 207,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506 : 382,958.28 = 150,182.51 : x
  2. Step 2: Convert to fraction form
    277,506/382,958.28 = 150,182.51/x
  3. Step 3: Cross multiply
    277,506x = 382,958.28 × 150,182.51
  4. Step 4: Simplify right side
    277,506x = 57,513,633,800.89
  5. Step 5: Solve for x
    x = 57,513,633,800.89/277,506
  6. Step 6: Final answer
    x = 207,251.86

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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.