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Finding the Fourth Proportional to 149,473.95, 224,242.89 and 54,703.82

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Solution

The fourth proportional to 149,473.95, 224,242.89 and 54,703.82 is: 82,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,473.95 : 224,242.89 = 54,703.82 : x
  2. Step 2: Convert to fraction form
    149,473.95/224,242.89 = 54,703.82/x
  3. Step 3: Cross multiply
    149,473.95x = 224,242.89 × 54,703.82
  4. Step 4: Simplify right side
    149,473.95x = 12,266,941,296.11
  5. Step 5: Solve for x
    x = 12,266,941,296.11/149,473.95
  6. Step 6: Final answer
    x = 82,067.42

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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.