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Finding the Fourth Proportional to 119,406.96, 164,669.76 and 74,092.32

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Solution

The fourth proportional to 119,406.96, 164,669.76 and 74,092.32 is: 102,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,406.96 : 164,669.76 = 74,092.32 : x
  2. Step 2: Convert to fraction form
    119,406.96/164,669.76 = 74,092.32/x
  3. Step 3: Cross multiply
    119,406.96x = 164,669.76 × 74,092.32
  4. Step 4: Simplify right side
    119,406.96x = 12,200,764,552.24
  5. Step 5: Solve for x
    x = 12,200,764,552.24/119,406.96
  6. Step 6: Final answer
    x = 102,178.00

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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.