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Finding the Fourth Proportional to 256,645.20, 384,384.60 and 162,166.80

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Solution

The fourth proportional to 256,645.20, 384,384.60 and 162,166.80 is: 242,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,645.20 : 384,384.60 = 162,166.80 : x
  2. Step 2: Convert to fraction form
    256,645.20/384,384.60 = 162,166.80/x
  3. Step 3: Cross multiply
    256,645.20x = 384,384.60 × 162,166.80
  4. Step 4: Simplify right side
    256,645.20x = 62,334,420,551.28
  5. Step 5: Solve for x
    x = 62,334,420,551.28/256,645.20
  6. Step 6: Final answer
    x = 242,881.69

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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.