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Finding the Fourth Proportional to 210,420.66, 290,188.20 and 164,486.38

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Solution

The fourth proportional to 210,420.66, 290,188.20 and 164,486.38 is: 226,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,420.66 : 290,188.20 = 164,486.38 : x
  2. Step 2: Convert to fraction form
    210,420.66/290,188.20 = 164,486.38/x
  3. Step 3: Cross multiply
    210,420.66x = 290,188.20 × 164,486.38
  4. Step 4: Simplify right side
    210,420.66x = 47,732,006,536.72
  5. Step 5: Solve for x
    x = 47,732,006,536.72/210,420.66
  6. Step 6: Final answer
    x = 226,840.87

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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.