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Finding the Fourth Proportional to 277,494.12, 382,941.86 and 150,169.72

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Solution

The fourth proportional to 277,494.12, 382,941.86 and 150,169.72 is: 207,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,494.12 : 382,941.86 = 150,169.72 : x
  2. Step 2: Convert to fraction form
    277,494.12/382,941.86 = 150,169.72/x
  3. Step 3: Cross multiply
    277,494.12x = 382,941.86 × 150,169.72
  4. Step 4: Simplify right side
    277,494.12x = 57,506,271,892.48
  5. Step 5: Solve for x
    x = 57,506,271,892.48/277,494.12
  6. Step 6: Final answer
    x = 207,234.20

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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.