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Finding the Fourth Proportional to 265,911.76, 366,951.52 and 145,055.80

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Solution

The fourth proportional to 265,911.76, 366,951.52 and 145,055.80 is: 200,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,911.76 : 366,951.52 = 145,055.80 : x
  2. Step 2: Convert to fraction form
    265,911.76/366,951.52 = 145,055.80/x
  3. Step 3: Cross multiply
    265,911.76x = 366,951.52 × 145,055.80
  4. Step 4: Simplify right side
    265,911.76x = 53,228,446,294.82
  5. Step 5: Solve for x
    x = 53,228,446,294.82/265,911.76
  6. Step 6: Final answer
    x = 200,173.34

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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.