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Finding the Fourth Proportional to 210,202.65, 290,088.36 and 119,574.59

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Solution

The fourth proportional to 210,202.65, 290,088.36 and 119,574.59 is: 165,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,202.65 : 290,088.36 = 119,574.59 : x
  2. Step 2: Convert to fraction form
    210,202.65/290,088.36 = 119,574.59/x
  3. Step 3: Cross multiply
    210,202.65x = 290,088.36 × 119,574.59
  4. Step 4: Simplify right side
    210,202.65x = 34,687,195,260.33
  5. Step 5: Solve for x
    x = 34,687,195,260.33/210,202.65
  6. Step 6: Final answer
    x = 165,017.88

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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.