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Finding the Fourth Proportional to 117,106.49, 175,834.70 and 115,356.89

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Solution

The fourth proportional to 117,106.49, 175,834.70 and 115,356.89 is: 173,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,106.49 : 175,834.70 = 115,356.89 : x
  2. Step 2: Convert to fraction form
    117,106.49/175,834.70 = 115,356.89/x
  3. Step 3: Cross multiply
    117,106.49x = 175,834.70 × 115,356.89
  4. Step 4: Simplify right side
    117,106.49x = 20,283,744,146.08
  5. Step 5: Solve for x
    x = 20,283,744,146.08/117,106.49
  6. Step 6: Final answer
    x = 173,207.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.