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Finding the Fourth Proportional to 116,151.48, 174,157.51 and 40,225

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Solution

The fourth proportional to 116,151.48, 174,157.51 and 40,225 is: 60,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,151.48 : 174,157.51 = 40,225 : x
  2. Step 2: Convert to fraction form
    116,151.48/174,157.51 = 40,225/x
  3. Step 3: Cross multiply
    116,151.48x = 174,157.51 × 40,225
  4. Step 4: Simplify right side
    116,151.48x = 7,005,485,839.75
  5. Step 5: Solve for x
    x = 7,005,485,839.75/116,151.48
  6. Step 6: Final answer
    x = 60,313.36

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1.5x scale

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.