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Finding the Fourth Proportional to 265,633.50, 366,597.27 and 146,424.54

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Solution

The fourth proportional to 265,633.50, 366,597.27 and 146,424.54 is: 202,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,633.50 : 366,597.27 = 146,424.54 : x
  2. Step 2: Convert to fraction form
    265,633.50/366,597.27 = 146,424.54/x
  3. Step 3: Cross multiply
    265,633.50x = 366,597.27 × 146,424.54
  4. Step 4: Simplify right side
    265,633.50x = 53,678,836,625.01
  5. Step 5: Solve for x
    x = 53,678,836,625.01/265,633.50
  6. Step 6: Final answer
    x = 202,078.57

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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.