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Finding the Fourth Proportional to 144,898.34, 199,728.75 and 114,221.44

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Solution

The fourth proportional to 144,898.34, 199,728.75 and 114,221.44 is: 157,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,898.34 : 199,728.75 = 114,221.44 : x
  2. Step 2: Convert to fraction form
    144,898.34/199,728.75 = 114,221.44/x
  3. Step 3: Cross multiply
    144,898.34x = 199,728.75 × 114,221.44
  4. Step 4: Simplify right side
    144,898.34x = 22,813,305,434.40
  5. Step 5: Solve for x
    x = 22,813,305,434.40/144,898.34
  6. Step 6: Final answer
    x = 157,443.53

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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.