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Finding the Fourth Proportional to 164,590.65, 227,044.16 and 133,996.66

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Solution

The fourth proportional to 164,590.65, 227,044.16 and 133,996.66 is: 184,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,590.65 : 227,044.16 = 133,996.66 : x
  2. Step 2: Convert to fraction form
    164,590.65/227,044.16 = 133,996.66/x
  3. Step 3: Cross multiply
    164,590.65x = 227,044.16 × 133,996.66
  4. Step 4: Simplify right side
    164,590.65x = 30,423,159,265.90
  5. Step 5: Solve for x
    x = 30,423,159,265.90/164,590.65
  6. Step 6: Final answer
    x = 184,841.35

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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.