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Finding the Fourth Proportional to 256,106.63, 353,432.82 and 141,385.01

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Solution

The fourth proportional to 256,106.63, 353,432.82 and 141,385.01 is: 195,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,106.63 : 353,432.82 = 141,385.01 : x
  2. Step 2: Convert to fraction form
    256,106.63/353,432.82 = 141,385.01/x
  3. Step 3: Cross multiply
    256,106.63x = 353,432.82 × 141,385.01
  4. Step 4: Simplify right side
    256,106.63x = 49,970,101,022.86
  5. Step 5: Solve for x
    x = 49,970,101,022.86/256,106.63
  6. Step 6: Final answer
    x = 195,114.44

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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.