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Finding the Fourth Proportional to 210,302.22, 290,214.42 and 119,657.90

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Solution

The fourth proportional to 210,302.22, 290,214.42 and 119,657.90 is: 165,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,302.22 : 290,214.42 = 119,657.90 : x
  2. Step 2: Convert to fraction form
    210,302.22/290,214.42 = 119,657.90/x
  3. Step 3: Cross multiply
    210,302.22x = 290,214.42 × 119,657.90
  4. Step 4: Simplify right side
    210,302.22x = 34,726,448,046.92
  5. Step 5: Solve for x
    x = 34,726,448,046.92/210,302.22
  6. Step 6: Final answer
    x = 165,126.40

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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.