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Finding the Fourth Proportional to 256,297.53, 353,689.17 and 141,584.06

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Solution

The fourth proportional to 256,297.53, 353,689.17 and 141,584.06 is: 195,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,297.53 : 353,689.17 = 141,584.06 : x
  2. Step 2: Convert to fraction form
    256,297.53/353,689.17 = 141,584.06/x
  3. Step 3: Cross multiply
    256,297.53x = 353,689.17 × 141,584.06
  4. Step 4: Simplify right side
    256,297.53x = 50,076,746,898.18
  5. Step 5: Solve for x
    x = 50,076,746,898.18/256,297.53
  6. Step 6: Final answer
    x = 195,385.21

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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.