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Finding the Fourth Proportional to 149,032.86, 223,549.29 and 43,851.86

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Solution

The fourth proportional to 149,032.86, 223,549.29 and 43,851.86 is: 65,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,032.86 : 223,549.29 = 43,851.86 : x
  2. Step 2: Convert to fraction form
    149,032.86/223,549.29 = 43,851.86/x
  3. Step 3: Cross multiply
    149,032.86x = 223,549.29 × 43,851.86
  4. Step 4: Simplify right side
    149,032.86x = 9,803,052,727.05
  5. Step 5: Solve for x
    x = 9,803,052,727.05/149,032.86
  6. Step 6: Final answer
    x = 65,777.79

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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.