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Finding the Fourth Proportional to 164,881.96, 227,516.42 and 97,801

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Solution

The fourth proportional to 164,881.96, 227,516.42 and 97,801 is: 134,953.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,881.96 : 227,516.42 = 97,801 : x
  2. Step 2: Convert to fraction form
    164,881.96/227,516.42 = 97,801/x
  3. Step 3: Cross multiply
    164,881.96x = 227,516.42 × 97,801
  4. Step 4: Simplify right side
    164,881.96x = 22,251,333,392.42
  5. Step 5: Solve for x
    x = 22,251,333,392.42/164,881.96
  6. Step 6: Final answer
    x = 134,953.11

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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.