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Finding the Fourth Proportional to 256,061.60, 384,207.60 and 89,968.80

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Solution

The fourth proportional to 256,061.60, 384,207.60 and 89,968.80 is: 134,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,061.60 : 384,207.60 = 89,968.80 : x
  2. Step 2: Convert to fraction form
    256,061.60/384,207.60 = 89,968.80/x
  3. Step 3: Cross multiply
    256,061.60x = 384,207.60 × 89,968.80
  4. Step 4: Simplify right side
    256,061.60x = 34,566,696,722.88
  5. Step 5: Solve for x
    x = 34,566,696,722.88/256,061.60
  6. Step 6: Final answer
    x = 134,993.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.