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Finding the Fourth Proportional to 137,671.16, 206,506.75 and 48,928.16

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Solution

The fourth proportional to 137,671.16, 206,506.75 and 48,928.16 is: 73,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,671.16 : 206,506.75 = 48,928.16 : x
  2. Step 2: Convert to fraction form
    137,671.16/206,506.75 = 48,928.16/x
  3. Step 3: Cross multiply
    137,671.16x = 206,506.75 × 48,928.16
  4. Step 4: Simplify right side
    137,671.16x = 10,103,995,576.71
  5. Step 5: Solve for x
    x = 10,103,995,576.71/137,671.16
  6. Step 6: Final answer
    x = 73,392.25

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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.