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Finding the Fourth Proportional to 210,284.32, 290,188.62 and 119,638.34

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Solution

The fourth proportional to 210,284.32, 290,188.62 and 119,638.34 is: 165,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,284.32 : 290,188.62 = 119,638.34 : x
  2. Step 2: Convert to fraction form
    210,284.32/290,188.62 = 119,638.34/x
  3. Step 3: Cross multiply
    210,284.32x = 290,188.62 × 119,638.34
  4. Step 4: Simplify right side
    210,284.32x = 34,717,684,783.69
  5. Step 5: Solve for x
    x = 34,717,684,783.69/210,284.32
  6. Step 6: Final answer
    x = 165,098.78

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