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Finding the Fourth Proportional to 210,292.74, 290,178.45 and 119,660.22

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Solution

The fourth proportional to 210,292.74, 290,178.45 and 119,660.22 is: 165,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,292.74 : 290,178.45 = 119,660.22 : x
  2. Step 2: Convert to fraction form
    210,292.74/290,178.45 = 119,660.22/x
  3. Step 3: Cross multiply
    210,292.74x = 290,178.45 × 119,660.22
  4. Step 4: Simplify right side
    210,292.74x = 34,722,817,166.26
  5. Step 5: Solve for x
    x = 34,722,817,166.26/210,292.74
  6. Step 6: Final answer
    x = 165,116.58

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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.