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Finding the Fourth Proportional to 265,865.46, 366,970.22 and 151,205.91

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Solution

The fourth proportional to 265,865.46, 366,970.22 and 151,205.91 is: 208,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,865.46 : 366,970.22 = 151,205.91 : x
  2. Step 2: Convert to fraction form
    265,865.46/366,970.22 = 151,205.91/x
  3. Step 3: Cross multiply
    265,865.46x = 366,970.22 × 151,205.91
  4. Step 4: Simplify right side
    265,865.46x = 55,488,065,301.97
  5. Step 5: Solve for x
    x = 55,488,065,301.97/265,865.46
  6. Step 6: Final answer
    x = 208,707.31

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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.