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Finding the Fourth Proportional to 117,947.84, 176,065.26 and 109,166.13

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Solution

The fourth proportional to 117,947.84, 176,065.26 and 109,166.13 is: 162,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,947.84 : 176,065.26 = 109,166.13 : x
  2. Step 2: Convert to fraction form
    117,947.84/176,065.26 = 109,166.13/x
  3. Step 3: Cross multiply
    117,947.84x = 176,065.26 × 109,166.13
  4. Step 4: Simplify right side
    117,947.84x = 19,220,361,635.49
  5. Step 5: Solve for x
    x = 19,220,361,635.49/117,947.84
  6. Step 6: Final answer
    x = 162,956.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.