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Finding the Fourth Proportional to 253,684.91, 350,090.83 and 144,787.07

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Solution

The fourth proportional to 253,684.91, 350,090.83 and 144,787.07 is: 199,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,684.91 : 350,090.83 = 144,787.07 : x
  2. Step 2: Convert to fraction form
    253,684.91/350,090.83 = 144,787.07/x
  3. Step 3: Cross multiply
    253,684.91x = 350,090.83 × 144,787.07
  4. Step 4: Simplify right side
    253,684.91x = 50,688,625,988.36
  5. Step 5: Solve for x
    x = 50,688,625,988.36/253,684.91
  6. Step 6: Final answer
    x = 199,809.38

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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.