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Finding the Fourth Proportional to 146,508.75, 219,764.21 and 35,700.75

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Solution

The fourth proportional to 146,508.75, 219,764.21 and 35,700.75 is: 53,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,508.75 : 219,764.21 = 35,700.75 : x
  2. Step 2: Convert to fraction form
    146,508.75/219,764.21 = 35,700.75/x
  3. Step 3: Cross multiply
    146,508.75x = 219,764.21 × 35,700.75
  4. Step 4: Simplify right side
    146,508.75x = 7,845,746,941.65
  5. Step 5: Solve for x
    x = 7,845,746,941.65/146,508.75
  6. Step 6: Final answer
    x = 53,551.39

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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.