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Finding the Fourth Proportional to 265,096.13, 365,821.71 and 144,237.91

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Solution

The fourth proportional to 265,096.13, 365,821.71 and 144,237.91 is: 199,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,096.13 : 365,821.71 = 144,237.91 : x
  2. Step 2: Convert to fraction form
    265,096.13/365,821.71 = 144,237.91/x
  3. Step 3: Cross multiply
    265,096.13x = 365,821.71 × 144,237.91
  4. Step 4: Simplify right side
    265,096.13x = 52,765,357,053.92
  5. Step 5: Solve for x
    x = 52,765,357,053.92/265,096.13
  6. Step 6: Final answer
    x = 199,042.35

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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.