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Finding the Fourth Proportional to 119,523, 164,941.74 and 66,531

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Solution

The fourth proportional to 119,523, 164,941.74 and 66,531 is: 91,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,523 : 164,941.74 = 66,531 : x
  2. Step 2: Convert to fraction form
    119,523/164,941.74 = 66,531/x
  3. Step 3: Cross multiply
    119,523x = 164,941.74 × 66,531
  4. Step 4: Simplify right side
    119,523x = 10,973,738,903.94
  5. Step 5: Solve for x
    x = 10,973,738,903.94/119,523
  6. Step 6: Final answer
    x = 91,812.78

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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.