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Finding the Fourth Proportional to 171,085.44, 257,579.04 and 148,224

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Solution

The fourth proportional to 171,085.44, 257,579.04 and 148,224 is: 223,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,085.44 : 257,579.04 = 148,224 : x
  2. Step 2: Convert to fraction form
    171,085.44/257,579.04 = 148,224/x
  3. Step 3: Cross multiply
    171,085.44x = 257,579.04 × 148,224
  4. Step 4: Simplify right side
    171,085.44x = 38,179,395,624.96
  5. Step 5: Solve for x
    x = 38,179,395,624.96/171,085.44
  6. Step 6: Final answer
    x = 223,159.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.