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Finding the Fourth Proportional to 119,350.34, 164,697.28 and 65,633.98

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Solution

The fourth proportional to 119,350.34, 164,697.28 and 65,633.98 is: 90,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,350.34 : 164,697.28 = 65,633.98 : x
  2. Step 2: Convert to fraction form
    119,350.34/164,697.28 = 65,633.98/x
  3. Step 3: Cross multiply
    119,350.34x = 164,697.28 × 65,633.98
  4. Step 4: Simplify right side
    119,350.34x = 10,809,737,981.57
  5. Step 5: Solve for x
    x = 10,809,737,981.57/119,350.34
  6. Step 6: Final answer
    x = 90,571.49

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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.