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Finding the Fourth Proportional to 256,499.86, 384,730.35 and 90,171.22

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Solution

The fourth proportional to 256,499.86, 384,730.35 and 90,171.22 is: 135,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,499.86 : 384,730.35 = 90,171.22 : x
  2. Step 2: Convert to fraction form
    256,499.86/384,730.35 = 90,171.22/x
  3. Step 3: Cross multiply
    256,499.86x = 384,730.35 × 90,171.22
  4. Step 4: Simplify right side
    256,499.86x = 34,691,605,030.53
  5. Step 5: Solve for x
    x = 34,691,605,030.53/256,499.86
  6. Step 6: Final answer
    x = 135,250.00

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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.