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Finding the Fourth Proportional to 165,713.80, 228,731.70 and 149,384.20

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Solution

The fourth proportional to 165,713.80, 228,731.70 and 149,384.20 is: 206,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,713.80 : 228,731.70 = 149,384.20 : x
  2. Step 2: Convert to fraction form
    165,713.80/228,731.70 = 149,384.20/x
  3. Step 3: Cross multiply
    165,713.80x = 228,731.70 × 149,384.20
  4. Step 4: Simplify right side
    165,713.80x = 34,168,902,019.14
  5. Step 5: Solve for x
    x = 34,168,902,019.14/165,713.80
  6. Step 6: Final answer
    x = 206,192.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.