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Finding the Fourth Proportional to 256,113.40, 384,515.70 and 162,801.40

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Solution

The fourth proportional to 256,113.40, 384,515.70 and 162,801.40 is: 244,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,113.40 : 384,515.70 = 162,801.40 : x
  2. Step 2: Convert to fraction form
    256,113.40/384,515.70 = 162,801.40/x
  3. Step 3: Cross multiply
    256,113.40x = 384,515.70 × 162,801.40
  4. Step 4: Simplify right side
    256,113.40x = 62,599,694,281.98
  5. Step 5: Solve for x
    x = 62,599,694,281.98/256,113.40
  6. Step 6: Final answer
    x = 244,421.78

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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.