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Finding the Fourth Proportional to 257,069.36, 354,759.35 and 148,113.49

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Solution

The fourth proportional to 257,069.36, 354,759.35 and 148,113.49 is: 204,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,069.36 : 354,759.35 = 148,113.49 : x
  2. Step 2: Convert to fraction form
    257,069.36/354,759.35 = 148,113.49/x
  3. Step 3: Cross multiply
    257,069.36x = 354,759.35 × 148,113.49
  4. Step 4: Simplify right side
    257,069.36x = 52,544,645,438.63
  5. Step 5: Solve for x
    x = 52,544,645,438.63/257,069.36
  6. Step 6: Final answer
    x = 204,398.71

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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.