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Finding the Fourth Proportional to 172,889.60, 257,516.16 and 164,800

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Solution

The fourth proportional to 172,889.60, 257,516.16 and 164,800 is: 245,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,889.60 : 257,516.16 = 164,800 : x
  2. Step 2: Convert to fraction form
    172,889.60/257,516.16 = 164,800/x
  3. Step 3: Cross multiply
    172,889.60x = 257,516.16 × 164,800
  4. Step 4: Simplify right side
    172,889.60x = 42,438,663,168
  5. Step 5: Solve for x
    x = 42,438,663,168/172,889.60
  6. Step 6: Final answer
    x = 245,466.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.