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Finding the Fourth Proportional to 145,967.56, 218,983.10 and 44,765.66

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Solution

The fourth proportional to 145,967.56, 218,983.10 and 44,765.66 is: 67,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,967.56 : 218,983.10 = 44,765.66 : x
  2. Step 2: Convert to fraction form
    145,967.56/218,983.10 = 44,765.66/x
  3. Step 3: Cross multiply
    145,967.56x = 218,983.10 × 44,765.66
  4. Step 4: Simplify right side
    145,967.56x = 9,802,923,323.98
  5. Step 5: Solve for x
    x = 9,802,923,323.98/145,967.56
  6. Step 6: Final answer
    x = 67,158.23

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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.