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Finding the Fourth Proportional to 269,054.40, 403,056.72 and 163,611.84

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Solution

The fourth proportional to 269,054.40, 403,056.72 and 163,611.84 is: 245,098.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,054.40 : 403,056.72 = 163,611.84 : x
  2. Step 2: Convert to fraction form
    269,054.40/403,056.72 = 163,611.84/x
  3. Step 3: Cross multiply
    269,054.40x = 403,056.72 × 163,611.84
  4. Step 4: Simplify right side
    269,054.40x = 65,944,851,583.56
  5. Step 5: Solve for x
    x = 65,944,851,583.56/269,054.40
  6. Step 6: Final answer
    x = 245,098.58

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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.