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Finding the Fourth Proportional to 277,495.20, 382,941.96 and 150,169.68

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Solution

The fourth proportional to 277,495.20, 382,941.96 and 150,169.68 is: 207,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,495.20 : 382,941.96 = 150,169.68 : x
  2. Step 2: Convert to fraction form
    277,495.20/382,941.96 = 150,169.68/x
  3. Step 3: Cross multiply
    277,495.20x = 382,941.96 × 150,169.68
  4. Step 4: Simplify right side
    277,495.20x = 57,506,271,591.77
  5. Step 5: Solve for x
    x = 57,506,271,591.77/277,495.20
  6. Step 6: Final answer
    x = 207,233.39

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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.