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Finding the Fourth Proportional to 123,426.81, 185,101.93 and 44,530.78

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Solution

The fourth proportional to 123,426.81, 185,101.93 and 44,530.78 is: 66,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,426.81 : 185,101.93 = 44,530.78 : x
  2. Step 2: Convert to fraction form
    123,426.81/185,101.93 = 44,530.78/x
  3. Step 3: Cross multiply
    123,426.81x = 185,101.93 × 44,530.78
  4. Step 4: Simplify right side
    123,426.81x = 8,242,733,322.41
  5. Step 5: Solve for x
    x = 8,242,733,322.41/123,426.81
  6. Step 6: Final answer
    x = 66,782.36

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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.