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Finding the Fourth Proportional to 257,516.53, 355,377.07 and 142,800.02

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Solution

The fourth proportional to 257,516.53, 355,377.07 and 142,800.02 is: 197,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,516.53 : 355,377.07 = 142,800.02 : x
  2. Step 2: Convert to fraction form
    257,516.53/355,377.07 = 142,800.02/x
  3. Step 3: Cross multiply
    257,516.53x = 355,377.07 × 142,800.02
  4. Step 4: Simplify right side
    257,516.53x = 50,747,852,703.54
  5. Step 5: Solve for x
    x = 50,747,852,703.54/257,516.53
  6. Step 6: Final answer
    x = 197,066.39

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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.