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Finding the Fourth Proportional to 137,730.45, 206,595.68 and 137,730.45

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Solution

The fourth proportional to 137,730.45, 206,595.68 and 137,730.45 is: 206,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,730.45 : 206,595.68 = 137,730.45 : x
  2. Step 2: Convert to fraction form
    137,730.45/206,595.68 = 137,730.45/x
  3. Step 3: Cross multiply
    137,730.45x = 206,595.68 × 137,730.45
  4. Step 4: Simplify right side
    137,730.45x = 28,454,515,285.80
  5. Step 5: Solve for x
    x = 28,454,515,285.80/137,730.45
  6. Step 6: Final answer
    x = 206,595.68

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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.