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Finding the Fourth Proportional to 189,914.49, 262,077.53 and 105,029.73

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Solution

The fourth proportional to 189,914.49, 262,077.53 and 105,029.73 is: 144,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,914.49 : 262,077.53 = 105,029.73 : x
  2. Step 2: Convert to fraction form
    189,914.49/262,077.53 = 105,029.73/x
  3. Step 3: Cross multiply
    189,914.49x = 262,077.53 × 105,029.73
  4. Step 4: Simplify right side
    189,914.49x = 27,525,931,689.82
  5. Step 5: Solve for x
    x = 27,525,931,689.82/189,914.49
  6. Step 6: Final answer
    x = 144,938.55

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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.