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Finding the Fourth Proportional to 228,551.80, 343,022.10 and 102,386.20

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Solution

The fourth proportional to 228,551.80, 343,022.10 and 102,386.20 is: 153,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,551.80 : 343,022.10 = 102,386.20 : x
  2. Step 2: Convert to fraction form
    228,551.80/343,022.10 = 102,386.20/x
  3. Step 3: Cross multiply
    228,551.80x = 343,022.10 × 102,386.20
  4. Step 4: Simplify right side
    228,551.80x = 35,120,729,335.02
  5. Step 5: Solve for x
    x = 35,120,729,335.02/228,551.80
  6. Step 6: Final answer
    x = 153,666.39

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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.