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Finding the Fourth Proportional to 137,584.83, 206,397.76 and 48,830.91

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Solution

The fourth proportional to 137,584.83, 206,397.76 and 48,830.91 is: 73,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,584.83 : 206,397.76 = 48,830.91 : x
  2. Step 2: Convert to fraction form
    137,584.83/206,397.76 = 48,830.91/x
  3. Step 3: Cross multiply
    137,584.83x = 206,397.76 × 48,830.91
  4. Step 4: Simplify right side
    137,584.83x = 10,078,590,442.76
  5. Step 5: Solve for x
    x = 10,078,590,442.76/137,584.83
  6. Step 6: Final answer
    x = 73,253.65

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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.