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Finding the Fourth Proportional to 257,211.69, 354,973.94 and 142,526.31

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Solution

The fourth proportional to 257,211.69, 354,973.94 and 142,526.31 is: 196,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,211.69 : 354,973.94 = 142,526.31 : x
  2. Step 2: Convert to fraction form
    257,211.69/354,973.94 = 142,526.31/x
  3. Step 3: Cross multiply
    257,211.69x = 354,973.94 × 142,526.31
  4. Step 4: Simplify right side
    257,211.69x = 50,593,124,305.05
  5. Step 5: Solve for x
    x = 50,593,124,305.05/257,211.69
  6. Step 6: Final answer
    x = 196,698.39

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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.