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Finding the Fourth Proportional to 253,686.94, 350,093.64 and 144,789.10

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Solution

The fourth proportional to 253,686.94, 350,093.64 and 144,789.10 is: 199,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,686.94 : 350,093.64 = 144,789.10 : x
  2. Step 2: Convert to fraction form
    253,686.94/350,093.64 = 144,789.10/x
  3. Step 3: Cross multiply
    253,686.94x = 350,093.64 × 144,789.10
  4. Step 4: Simplify right side
    253,686.94x = 50,689,743,051.32
  5. Step 5: Solve for x
    x = 50,689,743,051.32/253,686.94
  6. Step 6: Final answer
    x = 199,812.19

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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.