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Finding the Fourth Proportional to 117,735.60, 176,538.60 and 51,164.40

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Solution

The fourth proportional to 117,735.60, 176,538.60 and 51,164.40 is: 76,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,735.60 : 176,538.60 = 51,164.40 : x
  2. Step 2: Convert to fraction form
    117,735.60/176,538.60 = 51,164.40/x
  3. Step 3: Cross multiply
    117,735.60x = 176,538.60 × 51,164.40
  4. Step 4: Simplify right side
    117,735.60x = 9,032,491,545.84
  5. Step 5: Solve for x
    x = 9,032,491,545.84/117,735.60
  6. Step 6: Final answer
    x = 76,718.44

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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.