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Finding the Fourth Proportional to 116,315.24, 160,502.28 and 65,317.64

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Solution

The fourth proportional to 116,315.24, 160,502.28 and 65,317.64 is: 90,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,315.24 : 160,502.28 = 65,317.64 : x
  2. Step 2: Convert to fraction form
    116,315.24/160,502.28 = 65,317.64/x
  3. Step 3: Cross multiply
    116,315.24x = 160,502.28 × 65,317.64
  4. Step 4: Simplify right side
    116,315.24x = 10,483,630,144.22
  5. Step 5: Solve for x
    x = 10,483,630,144.22/116,315.24
  6. Step 6: Final answer
    x = 90,131.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.