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Finding the Fourth Proportional to 131,113.35, 180,870.92 and 82,775.18

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Solution

The fourth proportional to 131,113.35, 180,870.92 and 82,775.18 is: 114,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,113.35 : 180,870.92 = 82,775.18 : x
  2. Step 2: Convert to fraction form
    131,113.35/180,870.92 = 82,775.18/x
  3. Step 3: Cross multiply
    131,113.35x = 180,870.92 × 82,775.18
  4. Step 4: Simplify right side
    131,113.35x = 14,971,622,545.89
  5. Step 5: Solve for x
    x = 14,971,622,545.89/131,113.35
  6. Step 6: Final answer
    x = 114,188.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.