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Finding the Fourth Proportional to 117,454, 176,206.92 and 43,582

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Solution

The fourth proportional to 117,454, 176,206.92 and 43,582 is: 65,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,454 : 176,206.92 = 43,582 : x
  2. Step 2: Convert to fraction form
    117,454/176,206.92 = 43,582/x
  3. Step 3: Cross multiply
    117,454x = 176,206.92 × 43,582
  4. Step 4: Simplify right side
    117,454x = 7,679,449,987.44
  5. Step 5: Solve for x
    x = 7,679,449,987.44/117,454
  6. Step 6: Final answer
    x = 65,382.62

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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.