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Finding the Fourth Proportional to 252,053.72, 347,831.42 and 144,640.68

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Solution

The fourth proportional to 252,053.72, 347,831.42 and 144,640.68 is: 199,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,053.72 : 347,831.42 = 144,640.68 : x
  2. Step 2: Convert to fraction form
    252,053.72/347,831.42 = 144,640.68/x
  3. Step 3: Cross multiply
    252,053.72x = 347,831.42 × 144,640.68
  4. Step 4: Simplify right side
    252,053.72x = 50,310,573,114.17
  5. Step 5: Solve for x
    x = 50,310,573,114.17/252,053.72
  6. Step 6: Final answer
    x = 199,602.58

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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.