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Finding the Fourth Proportional to 228,726.40, 343,089.60 and 154,076.80

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Solution

The fourth proportional to 228,726.40, 343,089.60 and 154,076.80 is: 231,115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,726.40 : 343,089.60 = 154,076.80 : x
  2. Step 2: Convert to fraction form
    228,726.40/343,089.60 = 154,076.80/x
  3. Step 3: Cross multiply
    228,726.40x = 343,089.60 × 154,076.80
  4. Step 4: Simplify right side
    228,726.40x = 52,862,147,681.28
  5. Step 5: Solve for x
    x = 52,862,147,681.28/228,726.40
  6. Step 6: Final answer
    x = 231,115.20

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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.