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Finding the Fourth Proportional to 260,525.32, 390,583.84 and 102,871.78

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Solution

The fourth proportional to 260,525.32, 390,583.84 and 102,871.78 is: 154,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,525.32 : 390,583.84 = 102,871.78 : x
  2. Step 2: Convert to fraction form
    260,525.32/390,583.84 = 102,871.78/x
  3. Step 3: Cross multiply
    260,525.32x = 390,583.84 × 102,871.78
  4. Step 4: Simplify right side
    260,525.32x = 40,180,054,345.68
  5. Step 5: Solve for x
    x = 40,180,054,345.68/260,525.32
  6. Step 6: Final answer
    x = 154,227.06

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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.