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Finding the Fourth Proportional to 257,968, 386,951.94 and 169,201

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Solution

The fourth proportional to 257,968, 386,951.94 and 169,201 is: 253,801.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,968 : 386,951.94 = 169,201 : x
  2. Step 2: Convert to fraction form
    257,968/386,951.94 = 169,201/x
  3. Step 3: Cross multiply
    257,968x = 386,951.94 × 169,201
  4. Step 4: Simplify right side
    257,968x = 65,472,655,199.94
  5. Step 5: Solve for x
    x = 65,472,655,199.94/257,968
  6. Step 6: Final answer
    x = 253,801.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.