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Finding the Fourth Proportional to 257,155.32, 354,866.22 and 142,437.72

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Solution

The fourth proportional to 257,155.32, 354,866.22 and 142,437.72 is: 196,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,155.32 : 354,866.22 = 142,437.72 : x
  2. Step 2: Convert to fraction form
    257,155.32/354,866.22 = 142,437.72/x
  3. Step 3: Cross multiply
    257,155.32x = 354,866.22 × 142,437.72
  4. Step 4: Simplify right side
    257,155.32x = 50,546,335,281.82
  5. Step 5: Solve for x
    x = 50,546,335,281.82/257,155.32
  6. Step 6: Final answer
    x = 196,559.56

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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.