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Finding the Fourth Proportional to 265,135.88, 365,894.26 and 144,283.72

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Solution

The fourth proportional to 265,135.88, 365,894.26 and 144,283.72 is: 199,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,135.88 : 365,894.26 = 144,283.72 : x
  2. Step 2: Convert to fraction form
    265,135.88/365,894.26 = 144,283.72/x
  3. Step 3: Cross multiply
    265,135.88x = 365,894.26 × 144,283.72
  4. Step 4: Simplify right side
    265,135.88x = 52,792,584,959.45
  5. Step 5: Solve for x
    x = 52,792,584,959.45/265,135.88
  6. Step 6: Final answer
    x = 199,115.20

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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.