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Finding the Fourth Proportional to 257,045.19, 354,712.68 and 142,321.56

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Solution

The fourth proportional to 257,045.19, 354,712.68 and 142,321.56 is: 196,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,045.19 : 354,712.68 = 142,321.56 : x
  2. Step 2: Convert to fraction form
    257,045.19/354,712.68 = 142,321.56/x
  3. Step 3: Cross multiply
    257,045.19x = 354,712.68 × 142,321.56
  4. Step 4: Simplify right side
    257,045.19x = 50,483,261,969.38
  5. Step 5: Solve for x
    x = 50,483,261,969.38/257,045.19
  6. Step 6: Final answer
    x = 196,398.39

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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.