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Finding the Fourth Proportional to 228,839.40, 343,259.10 and 158,855.40

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Solution

The fourth proportional to 228,839.40, 343,259.10 and 158,855.40 is: 238,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,839.40 : 343,259.10 = 158,855.40 : x
  2. Step 2: Convert to fraction form
    228,839.40/343,259.10 = 158,855.40/x
  3. Step 3: Cross multiply
    228,839.40x = 343,259.10 × 158,855.40
  4. Step 4: Simplify right side
    228,839.40x = 54,528,561,634.14
  5. Step 5: Solve for x
    x = 54,528,561,634.14/228,839.40
  6. Step 6: Final answer
    x = 238,283.10

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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.