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Finding the Fourth Proportional to 256,296.16, 384,475.02 and 106,637.73

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Solution

The fourth proportional to 256,296.16, 384,475.02 and 106,637.73 is: 159,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,296.16 : 384,475.02 = 106,637.73 : x
  2. Step 2: Convert to fraction form
    256,296.16/384,475.02 = 106,637.73/x
  3. Step 3: Cross multiply
    256,296.16x = 384,475.02 × 106,637.73
  4. Step 4: Simplify right side
    256,296.16x = 40,999,543,374.50
  5. Step 5: Solve for x
    x = 40,999,543,374.50/256,296.16
  6. Step 6: Final answer
    x = 159,969.40

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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.