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Finding the Fourth Proportional to 265,096.38, 365,822.06 and 144,238.16

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Solution

The fourth proportional to 265,096.38, 365,822.06 and 144,238.16 is: 199,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,096.38 : 365,822.06 = 144,238.16 : x
  2. Step 2: Convert to fraction form
    265,096.38/365,822.06 = 144,238.16/x
  3. Step 3: Cross multiply
    265,096.38x = 365,822.06 × 144,238.16
  4. Step 4: Simplify right side
    265,096.38x = 52,765,498,271.51
  5. Step 5: Solve for x
    x = 52,765,498,271.51/265,096.38
  6. Step 6: Final answer
    x = 199,042.70

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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.