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Finding the Fourth Proportional to 265,142.46, 365,904.29 and 144,291.54

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Solution

The fourth proportional to 265,142.46, 365,904.29 and 144,291.54 is: 199,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,142.46 : 365,904.29 = 144,291.54 : x
  2. Step 2: Convert to fraction form
    265,142.46/365,904.29 = 144,291.54/x
  3. Step 3: Cross multiply
    265,142.46x = 365,904.29 × 144,291.54
  4. Step 4: Simplify right side
    265,142.46x = 52,796,892,775.25
  5. Step 5: Solve for x
    x = 52,796,892,775.25/265,142.46
  6. Step 6: Final answer
    x = 199,126.51

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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.