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Finding the Fourth Proportional to 257,274.63, 355,040.01 and 144,097.38

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Solution

The fourth proportional to 257,274.63, 355,040.01 and 144,097.38 is: 198,854.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,274.63 : 355,040.01 = 144,097.38 : x
  2. Step 2: Convert to fraction form
    257,274.63/355,040.01 = 144,097.38/x
  3. Step 3: Cross multiply
    257,274.63x = 355,040.01 × 144,097.38
  4. Step 4: Simplify right side
    257,274.63x = 51,160,335,236.17
  5. Step 5: Solve for x
    x = 51,160,335,236.17/257,274.63
  6. Step 6: Final answer
    x = 198,854.96

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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.