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Finding the Fourth Proportional to 256,438.40, 384,618.68 and 90,187.52

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Solution

The fourth proportional to 256,438.40, 384,618.68 and 90,187.52 is: 135,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,438.40 : 384,618.68 = 90,187.52 : x
  2. Step 2: Convert to fraction form
    256,438.40/384,618.68 = 90,187.52/x
  3. Step 3: Cross multiply
    256,438.40x = 384,618.68 × 90,187.52
  4. Step 4: Simplify right side
    256,438.40x = 34,687,804,894.87
  5. Step 5: Solve for x
    x = 34,687,804,894.87/256,438.40
  6. Step 6: Final answer
    x = 135,267.59

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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.