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Finding the Fourth Proportional to 257,731.95, 386,505.21 and 89,206.50

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Solution

The fourth proportional to 257,731.95, 386,505.21 and 89,206.50 is: 133,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,731.95 : 386,505.21 = 89,206.50 : x
  2. Step 2: Convert to fraction form
    257,731.95/386,505.21 = 89,206.50/x
  3. Step 3: Cross multiply
    257,731.95x = 386,505.21 × 89,206.50
  4. Step 4: Simplify right side
    257,731.95x = 34,478,777,015.87
  5. Step 5: Solve for x
    x = 34,478,777,015.87/257,731.95
  6. Step 6: Final answer
    x = 133,777.66

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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.