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Finding the Fourth Proportional to 257,121.32, 354,709.58 and 166,506.48

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Solution

The fourth proportional to 257,121.32, 354,709.58 and 166,506.48 is: 229,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,121.32 : 354,709.58 = 166,506.48 : x
  2. Step 2: Convert to fraction form
    257,121.32/354,709.58 = 166,506.48/x
  3. Step 3: Cross multiply
    257,121.32x = 354,709.58 × 166,506.48
  4. Step 4: Simplify right side
    257,121.32x = 59,061,443,588.08
  5. Step 5: Solve for x
    x = 59,061,443,588.08/257,121.32
  6. Step 6: Final answer
    x = 229,702.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.