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Finding the Fourth Proportional to 256,601.09, 385,250.68 and 144,360.29

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Solution

The fourth proportional to 256,601.09, 385,250.68 and 144,360.29 is: 216,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,601.09 : 385,250.68 = 144,360.29 : x
  2. Step 2: Convert to fraction form
    256,601.09/385,250.68 = 144,360.29/x
  3. Step 3: Cross multiply
    256,601.09x = 385,250.68 × 144,360.29
  4. Step 4: Simplify right side
    256,601.09x = 55,614,899,887.50
  5. Step 5: Solve for x
    x = 55,614,899,887.50/256,601.09
  6. Step 6: Final answer
    x = 216,736.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.