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Finding the Fourth Proportional to 119,444.50, 164,829.26 and 65,724.49

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Solution

The fourth proportional to 119,444.50, 164,829.26 and 65,724.49 is: 90,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,444.50 : 164,829.26 = 65,724.49 : x
  2. Step 2: Convert to fraction form
    119,444.50/164,829.26 = 65,724.49/x
  3. Step 3: Cross multiply
    119,444.50x = 164,829.26 × 65,724.49
  4. Step 4: Simplify right side
    119,444.50x = 10,833,318,226.43
  5. Step 5: Solve for x
    x = 10,833,318,226.43/119,444.50
  6. Step 6: Final answer
    x = 90,697.51

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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.