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Finding the Fourth Proportional to 257,041.28, 354,692.34 and 142,315.72

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Solution

The fourth proportional to 257,041.28, 354,692.34 and 142,315.72 is: 196,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,041.28 : 354,692.34 = 142,315.72 : x
  2. Step 2: Convert to fraction form
    257,041.28/354,692.34 = 142,315.72/x
  3. Step 3: Cross multiply
    257,041.28x = 354,692.34 × 142,315.72
  4. Step 4: Simplify right side
    257,041.28x = 50,478,296,854.00
  5. Step 5: Solve for x
    x = 50,478,296,854.00/257,041.28
  6. Step 6: Final answer
    x = 196,382.06

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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.