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Finding the Fourth Proportional to 242,674.40, 364,400.40 and 164,136.80

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Solution

The fourth proportional to 242,674.40, 364,400.40 and 164,136.80 is: 246,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,674.40 : 364,400.40 = 164,136.80 : x
  2. Step 2: Convert to fraction form
    242,674.40/364,400.40 = 164,136.80/x
  3. Step 3: Cross multiply
    242,674.40x = 364,400.40 × 164,136.80
  4. Step 4: Simplify right side
    242,674.40x = 59,811,515,574.72
  5. Step 5: Solve for x
    x = 59,811,515,574.72/242,674.40
  6. Step 6: Final answer
    x = 246,468.17

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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.