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Finding the Fourth Proportional to 265,126.50, 365,813.96 and 150,377.72

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Solution

The fourth proportional to 265,126.50, 365,813.96 and 150,377.72 is: 207,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,126.50 : 365,813.96 = 150,377.72 : x
  2. Step 2: Convert to fraction form
    265,126.50/365,813.96 = 150,377.72/x
  3. Step 3: Cross multiply
    265,126.50x = 365,813.96 × 150,377.72
  4. Step 4: Simplify right side
    265,126.50x = 55,010,266,668.01
  5. Step 5: Solve for x
    x = 55,010,266,668.01/265,126.50
  6. Step 6: Final answer
    x = 207,486.87

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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.