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Finding the Fourth Proportional to 265,874.50, 366,906.84 and 146,642.50

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Solution

The fourth proportional to 265,874.50, 366,906.84 and 146,642.50 is: 202,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,874.50 : 366,906.84 = 146,642.50 : x
  2. Step 2: Convert to fraction form
    265,874.50/366,906.84 = 146,642.50/x
  3. Step 3: Cross multiply
    265,874.50x = 366,906.84 × 146,642.50
  4. Step 4: Simplify right side
    265,874.50x = 53,804,136,284.70
  5. Step 5: Solve for x
    x = 53,804,136,284.70/265,874.50
  6. Step 6: Final answer
    x = 202,366.67

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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.