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Finding the Fourth Proportional to 202,681.50, 304,019.82 and 190,350.51

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Solution

The fourth proportional to 202,681.50, 304,019.82 and 190,350.51 is: 285,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,681.50 : 304,019.82 = 190,350.51 : x
  2. Step 2: Convert to fraction form
    202,681.50/304,019.82 = 190,350.51/x
  3. Step 3: Cross multiply
    202,681.50x = 304,019.82 × 190,350.51
  4. Step 4: Simplify right side
    202,681.50x = 57,870,327,787.11
  5. Step 5: Solve for x
    x = 57,870,327,787.11/202,681.50
  6. Step 6: Final answer
    x = 285,523.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.