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Finding the Fourth Proportional to 257,959.96, 386,758.50 and 100,055.32

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Solution

The fourth proportional to 257,959.96, 386,758.50 and 100,055.32 is: 150,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,959.96 : 386,758.50 = 100,055.32 : x
  2. Step 2: Convert to fraction form
    257,959.96/386,758.50 = 100,055.32/x
  3. Step 3: Cross multiply
    257,959.96x = 386,758.50 × 100,055.32
  4. Step 4: Simplify right side
    257,959.96x = 38,697,245,480.22
  5. Step 5: Solve for x
    x = 38,697,245,480.22/257,959.96
  6. Step 6: Final answer
    x = 150,012.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.