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Finding the Fourth Proportional to 228,841.83, 343,389.92 and 102,476.97

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Solution

The fourth proportional to 228,841.83, 343,389.92 and 102,476.97 is: 153,772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,841.83 : 343,389.92 = 102,476.97 : x
  2. Step 2: Convert to fraction form
    228,841.83/343,389.92 = 102,476.97/x
  3. Step 3: Cross multiply
    228,841.83x = 343,389.92 × 102,476.97
  4. Step 4: Simplify right side
    228,841.83x = 35,189,558,017.76
  5. Step 5: Solve for x
    x = 35,189,558,017.76/228,841.83
  6. Step 6: Final answer
    x = 153,772.40

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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.