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Finding the Fourth Proportional to 145,936.22, 218,904.93 and 40,754.88

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Solution

The fourth proportional to 145,936.22, 218,904.93 and 40,754.88 is: 61,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,936.22 : 218,904.93 = 40,754.88 : x
  2. Step 2: Convert to fraction form
    145,936.22/218,904.93 = 40,754.88/x
  3. Step 3: Cross multiply
    145,936.22x = 218,904.93 × 40,754.88
  4. Step 4: Simplify right side
    145,936.22x = 8,921,444,153.56
  5. Step 5: Solve for x
    x = 8,921,444,153.56/145,936.22
  6. Step 6: Final answer
    x = 61,132.49

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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.