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Finding the Fourth Proportional to 131,730.54, 197,595.94 and 61,659.06

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Solution

The fourth proportional to 131,730.54, 197,595.94 and 61,659.06 is: 92,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,730.54 : 197,595.94 = 61,659.06 : x
  2. Step 2: Convert to fraction form
    131,730.54/197,595.94 = 61,659.06/x
  3. Step 3: Cross multiply
    131,730.54x = 197,595.94 × 61,659.06
  4. Step 4: Simplify right side
    131,730.54x = 12,183,579,920.22
  5. Step 5: Solve for x
    x = 12,183,579,920.22/131,730.54
  6. Step 6: Final answer
    x = 92,488.65

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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.