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Finding the Fourth Proportional to 149,689.34, 224,569.86 and 49,850.36

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Solution

The fourth proportional to 149,689.34, 224,569.86 and 49,850.36 is: 74,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,689.34 : 224,569.86 = 49,850.36 : x
  2. Step 2: Convert to fraction form
    149,689.34/224,569.86 = 49,850.36/x
  3. Step 3: Cross multiply
    149,689.34x = 224,569.86 × 49,850.36
  4. Step 4: Simplify right side
    149,689.34x = 11,194,888,366.15
  5. Step 5: Solve for x
    x = 11,194,888,366.15/149,689.34
  6. Step 6: Final answer
    x = 74,787.48

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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.