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Finding the Fourth Proportional to 256,388.90, 353,809.77 and 140,097.74

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Solution

The fourth proportional to 256,388.90, 353,809.77 and 140,097.74 is: 193,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,388.90 : 353,809.77 = 140,097.74 : x
  2. Step 2: Convert to fraction form
    256,388.90/353,809.77 = 140,097.74/x
  3. Step 3: Cross multiply
    256,388.90x = 353,809.77 × 140,097.74
  4. Step 4: Simplify right side
    256,388.90x = 49,567,949,166.92
  5. Step 5: Solve for x
    x = 49,567,949,166.92/256,388.90
  6. Step 6: Final answer
    x = 193,331.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.