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Finding the Fourth Proportional to 265,034.43, 365,743.76 and 144,176.63

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Solution

The fourth proportional to 265,034.43, 365,743.76 and 144,176.63 is: 198,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,034.43 : 365,743.76 = 144,176.63 : x
  2. Step 2: Convert to fraction form
    265,034.43/365,743.76 = 144,176.63/x
  3. Step 3: Cross multiply
    265,034.43x = 365,743.76 × 144,176.63
  4. Step 4: Simplify right side
    265,034.43x = 52,731,700,210.73
  5. Step 5: Solve for x
    x = 52,731,700,210.73/265,034.43
  6. Step 6: Final answer
    x = 198,961.70

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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.