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Finding the Fourth Proportional to 164,692.86, 227,277.94 and 96,710.64

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Solution

The fourth proportional to 164,692.86, 227,277.94 and 96,710.64 is: 133,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,692.86 : 227,277.94 = 96,710.64 : x
  2. Step 2: Convert to fraction form
    164,692.86/227,277.94 = 96,710.64/x
  3. Step 3: Cross multiply
    164,692.86x = 227,277.94 × 96,710.64
  4. Step 4: Simplify right side
    164,692.86x = 21,980,195,035.28
  5. Step 5: Solve for x
    x = 21,980,195,035.28/164,692.86
  6. Step 6: Final answer
    x = 133,461.74

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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.