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Finding the Fourth Proportional to 256,090.96, 353,403.48 and 148,670.96

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Solution

The fourth proportional to 256,090.96, 353,403.48 and 148,670.96 is: 205,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,090.96 : 353,403.48 = 148,670.96 : x
  2. Step 2: Convert to fraction form
    256,090.96/353,403.48 = 148,670.96/x
  3. Step 3: Cross multiply
    256,090.96x = 353,403.48 × 148,670.96
  4. Step 4: Simplify right side
    256,090.96x = 52,540,834,638.94
  5. Step 5: Solve for x
    x = 52,540,834,638.94/256,090.96
  6. Step 6: Final answer
    x = 205,164.74

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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.