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Finding the Fourth Proportional to 265,067.55, 365,784.84 and 144,205.74

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Solution

The fourth proportional to 265,067.55, 365,784.84 and 144,205.74 is: 198,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,067.55 : 365,784.84 = 144,205.74 : x
  2. Step 2: Convert to fraction form
    265,067.55/365,784.84 = 144,205.74/x
  3. Step 3: Cross multiply
    265,067.55x = 365,784.84 × 144,205.74
  4. Step 4: Simplify right side
    265,067.55x = 52,748,273,532.98
  5. Step 5: Solve for x
    x = 52,748,273,532.98/265,067.55
  6. Step 6: Final answer
    x = 198,999.36

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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.