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Finding the Fourth Proportional to 265,297.65, 397,696.32 and 132,051.94

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Solution

The fourth proportional to 265,297.65, 397,696.32 and 132,051.94 is: 197,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,297.65 : 397,696.32 = 132,051.94 : x
  2. Step 2: Convert to fraction form
    265,297.65/397,696.32 = 132,051.94/x
  3. Step 3: Cross multiply
    265,297.65x = 397,696.32 × 132,051.94
  4. Step 4: Simplify right side
    265,297.65x = 52,516,571,083.98
  5. Step 5: Solve for x
    x = 52,516,571,083.98/265,297.65
  6. Step 6: Final answer
    x = 197,953.40

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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.