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Finding the Fourth Proportional to 119,477.92, 164,523.62 and 116,825.90

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Solution

The fourth proportional to 119,477.92, 164,523.62 and 116,825.90 is: 160,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,477.92 : 164,523.62 = 116,825.90 : x
  2. Step 2: Convert to fraction form
    119,477.92/164,523.62 = 116,825.90/x
  3. Step 3: Cross multiply
    119,477.92x = 164,523.62 × 116,825.90
  4. Step 4: Simplify right side
    119,477.92x = 19,220,619,977.76
  5. Step 5: Solve for x
    x = 19,220,619,977.76/119,477.92
  6. Step 6: Final answer
    x = 160,871.73

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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.