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Finding the Fourth Proportional to 257,108.14, 354,829.71 and 189,434.26

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Solution

The fourth proportional to 257,108.14, 354,829.71 and 189,434.26 is: 261,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,108.14 : 354,829.71 = 189,434.26 : x
  2. Step 2: Convert to fraction form
    257,108.14/354,829.71 = 189,434.26/x
  3. Step 3: Cross multiply
    257,108.14x = 354,829.71 × 189,434.26
  4. Step 4: Simplify right side
    257,108.14x = 67,216,903,539.86
  5. Step 5: Solve for x
    x = 67,216,903,539.86/257,108.14
  6. Step 6: Final answer
    x = 261,434.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.