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Finding the Fourth Proportional to 145,857.68, 218,786.49 and 35,049.68

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Solution

The fourth proportional to 145,857.68, 218,786.49 and 35,049.68 is: 52,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,857.68 : 218,786.49 = 35,049.68 : x
  2. Step 2: Convert to fraction form
    145,857.68/218,786.49 = 35,049.68/x
  3. Step 3: Cross multiply
    145,857.68x = 218,786.49 × 35,049.68
  4. Step 4: Simplify right side
    145,857.68x = 7,668,395,368.89
  5. Step 5: Solve for x
    x = 7,668,395,368.89/145,857.68
  6. Step 6: Final answer
    x = 52,574.51

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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.