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Finding the Fourth Proportional to 189,829, 261,969.49 and 104,951.53

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Solution

The fourth proportional to 189,829, 261,969.49 and 104,951.53 is: 144,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,829 : 261,969.49 = 104,951.53 : x
  2. Step 2: Convert to fraction form
    189,829/261,969.49 = 104,951.53/x
  3. Step 3: Cross multiply
    189,829x = 261,969.49 × 104,951.53
  4. Step 4: Simplify right side
    189,829x = 27,494,098,788.82
  5. Step 5: Solve for x
    x = 27,494,098,788.82/189,829
  6. Step 6: Final answer
    x = 144,836.14

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1.5x scale

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.