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Finding the Fourth Proportional to 221,551.44, 305,776.08 and 140,894.88

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Solution

The fourth proportional to 221,551.44, 305,776.08 and 140,894.88 is: 194,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,551.44 : 305,776.08 = 140,894.88 : x
  2. Step 2: Convert to fraction form
    221,551.44/305,776.08 = 140,894.88/x
  3. Step 3: Cross multiply
    221,551.44x = 305,776.08 × 140,894.88
  4. Step 4: Simplify right side
    221,551.44x = 43,082,284,098.47
  5. Step 5: Solve for x
    x = 43,082,284,098.47/221,551.44
  6. Step 6: Final answer
    x = 194,457.25

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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.