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Finding the Fourth Proportional to 177,294.30, 265,941.45 and 137,636.70

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Solution

The fourth proportional to 177,294.30, 265,941.45 and 137,636.70 is: 206,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,294.30 : 265,941.45 = 137,636.70 : x
  2. Step 2: Convert to fraction form
    177,294.30/265,941.45 = 137,636.70/x
  3. Step 3: Cross multiply
    177,294.30x = 265,941.45 × 137,636.70
  4. Step 4: Simplify right side
    177,294.30x = 36,603,303,571.22
  5. Step 5: Solve for x
    x = 36,603,303,571.22/177,294.30
  6. Step 6: Final answer
    x = 206,455.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.