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Finding the Fourth Proportional to 123,366.42, 185,021.95 and 56,742.55

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Solution

The fourth proportional to 123,366.42, 185,021.95 and 56,742.55 is: 85,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,366.42 : 185,021.95 = 56,742.55 : x
  2. Step 2: Convert to fraction form
    123,366.42/185,021.95 = 56,742.55/x
  3. Step 3: Cross multiply
    123,366.42x = 185,021.95 × 56,742.55
  4. Step 4: Simplify right side
    123,366.42x = 10,498,617,111.74
  5. Step 5: Solve for x
    x = 10,498,617,111.74/123,366.42
  6. Step 6: Final answer
    x = 85,101.09

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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.