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Finding the Fourth Proportional to 265,140.95, 365,902.76 and 150,424.43

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Solution

The fourth proportional to 265,140.95, 365,902.76 and 150,424.43 is: 207,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,140.95 : 365,902.76 = 150,424.43 : x
  2. Step 2: Convert to fraction form
    265,140.95/365,902.76 = 150,424.43/x
  3. Step 3: Cross multiply
    265,140.95x = 365,902.76 × 150,424.43
  4. Step 4: Simplify right side
    265,140.95x = 55,040,714,271.06
  5. Step 5: Solve for x
    x = 55,040,714,271.06/265,140.95
  6. Step 6: Final answer
    x = 207,590.39

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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.