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Finding the Fourth Proportional to 256,297.66, 353,689.34 and 141,584.18

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Solution

The fourth proportional to 256,297.66, 353,689.34 and 141,584.18 is: 195,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,297.66 : 353,689.34 = 141,584.18 : x
  2. Step 2: Convert to fraction form
    256,297.66/353,689.34 = 141,584.18/x
  3. Step 3: Cross multiply
    256,297.66x = 353,689.34 × 141,584.18
  4. Step 4: Simplify right side
    256,297.66x = 50,076,815,178.64
  5. Step 5: Solve for x
    x = 50,076,815,178.64/256,297.66
  6. Step 6: Final answer
    x = 195,385.38

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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.