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Finding the Fourth Proportional to 164,737.84, 227,336.52 and 92,139.96

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Solution

The fourth proportional to 164,737.84, 227,336.52 and 92,139.96 is: 127,152.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,737.84 : 227,336.52 = 92,139.96 : x
  2. Step 2: Convert to fraction form
    164,737.84/227,336.52 = 92,139.96/x
  3. Step 3: Cross multiply
    164,737.84x = 227,336.52 × 92,139.96
  4. Step 4: Simplify right side
    164,737.84x = 20,946,777,859.34
  5. Step 5: Solve for x
    x = 20,946,777,859.34/164,737.84
  6. Step 6: Final answer
    x = 127,152.19

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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.