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Finding the Fourth Proportional to 257,143.12, 354,849.66 and 142,417.21

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Solution

The fourth proportional to 257,143.12, 354,849.66 and 142,417.21 is: 196,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,143.12 : 354,849.66 = 142,417.21 : x
  2. Step 2: Convert to fraction form
    257,143.12/354,849.66 = 142,417.21/x
  3. Step 3: Cross multiply
    257,143.12x = 354,849.66 × 142,417.21
  4. Step 4: Simplify right side
    257,143.12x = 50,536,698,546.65
  5. Step 5: Solve for x
    x = 50,536,698,546.65/257,143.12
  6. Step 6: Final answer
    x = 196,531.40

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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.