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Finding the Fourth Proportional to 149,625.01, 224,474.10 and 49,784.95

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Solution

The fourth proportional to 149,625.01, 224,474.10 and 49,784.95 is: 74,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,625.01 : 224,474.10 = 49,784.95 : x
  2. Step 2: Convert to fraction form
    149,625.01/224,474.10 = 49,784.95/x
  3. Step 3: Cross multiply
    149,625.01x = 224,474.10 × 49,784.95
  4. Step 4: Simplify right side
    149,625.01x = 11,175,431,844.80
  5. Step 5: Solve for x
    x = 11,175,431,844.80/149,625.01
  6. Step 6: Final answer
    x = 74,689.60

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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.