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Finding the Fourth Proportional to 265,044.08, 365,757 and 144,186.41

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Solution

The fourth proportional to 265,044.08, 365,757 and 144,186.41 is: 198,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,044.08 : 365,757 = 144,186.41 : x
  2. Step 2: Convert to fraction form
    265,044.08/365,757 = 144,186.41/x
  3. Step 3: Cross multiply
    265,044.08x = 365,757 × 144,186.41
  4. Step 4: Simplify right side
    265,044.08x = 52,737,188,762.37
  5. Step 5: Solve for x
    x = 52,737,188,762.37/265,044.08
  6. Step 6: Final answer
    x = 198,975.16

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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.