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Finding the Fourth Proportional to 256,076.86, 353,386.14 and 141,355.57

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Solution

The fourth proportional to 256,076.86, 353,386.14 and 141,355.57 is: 195,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,076.86 : 353,386.14 = 141,355.57 : x
  2. Step 2: Convert to fraction form
    256,076.86/353,386.14 = 141,355.57/x
  3. Step 3: Cross multiply
    256,076.86x = 353,386.14 × 141,355.57
  4. Step 4: Simplify right side
    256,076.86x = 49,953,099,249.80
  5. Step 5: Solve for x
    x = 49,953,099,249.80/256,076.86
  6. Step 6: Final answer
    x = 195,070.73

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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.