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Finding the Fourth Proportional to 265,772.26, 366,807.78 and 158,404.57

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Solution

The fourth proportional to 265,772.26, 366,807.78 and 158,404.57 is: 218,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,772.26 : 366,807.78 = 158,404.57 : x
  2. Step 2: Convert to fraction form
    265,772.26/366,807.78 = 158,404.57/x
  3. Step 3: Cross multiply
    265,772.26x = 366,807.78 × 158,404.57
  4. Step 4: Simplify right side
    265,772.26x = 58,104,028,663.55
  5. Step 5: Solve for x
    x = 58,104,028,663.55/265,772.26
  6. Step 6: Final answer
    x = 218,623.38

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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.