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Finding the Fourth Proportional to 117,548.40, 176,495.40 and 82,642.80

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Solution

The fourth proportional to 117,548.40, 176,495.40 and 82,642.80 is: 124,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,548.40 : 176,495.40 = 82,642.80 : x
  2. Step 2: Convert to fraction form
    117,548.40/176,495.40 = 82,642.80/x
  3. Step 3: Cross multiply
    117,548.40x = 176,495.40 × 82,642.80
  4. Step 4: Simplify right side
    117,548.40x = 14,586,074,043.12
  5. Step 5: Solve for x
    x = 14,586,074,043.12/117,548.40
  6. Step 6: Final answer
    x = 124,085.69

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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.