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Finding the Fourth Proportional to 256,132.34, 384,155.16 and 93,993.02

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Solution

The fourth proportional to 256,132.34, 384,155.16 and 93,993.02 is: 140,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,132.34 : 384,155.16 = 93,993.02 : x
  2. Step 2: Convert to fraction form
    256,132.34/384,155.16 = 93,993.02/x
  3. Step 3: Cross multiply
    256,132.34x = 384,155.16 × 93,993.02
  4. Step 4: Simplify right side
    256,132.34x = 36,107,903,636.98
  5. Step 5: Solve for x
    x = 36,107,903,636.98/256,132.34
  6. Step 6: Final answer
    x = 140,973.62

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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.