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Finding the Fourth Proportional to 171,461.64, 257,587.72 and 164,375.88

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Solution

The fourth proportional to 171,461.64, 257,587.72 and 164,375.88 is: 246,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,461.64 : 257,587.72 = 164,375.88 : x
  2. Step 2: Convert to fraction form
    171,461.64/257,587.72 = 164,375.88/x
  3. Step 3: Cross multiply
    171,461.64x = 257,587.72 × 164,375.88
  4. Step 4: Simplify right side
    171,461.64x = 42,341,208,152.19
  5. Step 5: Solve for x
    x = 42,341,208,152.19/171,461.64
  6. Step 6: Final answer
    x = 246,942.75

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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.