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Finding the Fourth Proportional to 149,191.19, 205,901.41 and 83,790.78

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Solution

The fourth proportional to 149,191.19, 205,901.41 and 83,790.78 is: 115,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,191.19 : 205,901.41 = 83,790.78 : x
  2. Step 2: Convert to fraction form
    149,191.19/205,901.41 = 83,790.78/x
  3. Step 3: Cross multiply
    149,191.19x = 205,901.41 × 83,790.78
  4. Step 4: Simplify right side
    149,191.19x = 17,252,639,537.52
  5. Step 5: Solve for x
    x = 17,252,639,537.52/149,191.19
  6. Step 6: Final answer
    x = 115,641.14

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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.