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Finding the Fourth Proportional to 256,293.78, 353,684.01 and 141,580.32

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Solution

The fourth proportional to 256,293.78, 353,684.01 and 141,580.32 is: 195,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,293.78 : 353,684.01 = 141,580.32 : x
  2. Step 2: Convert to fraction form
    256,293.78/353,684.01 = 141,580.32/x
  3. Step 3: Cross multiply
    256,293.78x = 353,684.01 × 141,580.32
  4. Step 4: Simplify right side
    256,293.78x = 50,074,695,314.68
  5. Step 5: Solve for x
    x = 50,074,695,314.68/256,293.78
  6. Step 6: Final answer
    x = 195,380.06

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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.