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Finding the Fourth Proportional to 116,642.16, 174,920.22 and 41,742

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Solution

The fourth proportional to 116,642.16, 174,920.22 and 41,742 is: 62,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,642.16 : 174,920.22 = 41,742 : x
  2. Step 2: Convert to fraction form
    116,642.16/174,920.22 = 41,742/x
  3. Step 3: Cross multiply
    116,642.16x = 174,920.22 × 41,742
  4. Step 4: Simplify right side
    116,642.16x = 7,301,519,823.24
  5. Step 5: Solve for x
    x = 7,301,519,823.24/116,642.16
  6. Step 6: Final answer
    x = 62,597.60

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