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Finding the Fourth Proportional to 210,262.33, 290,032.73 and 149,852.53

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Solution

The fourth proportional to 210,262.33, 290,032.73 and 149,852.53 is: 206,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,262.33 : 290,032.73 = 149,852.53 : x
  2. Step 2: Convert to fraction form
    210,262.33/290,032.73 = 149,852.53/x
  3. Step 3: Cross multiply
    210,262.33x = 290,032.73 × 149,852.53
  4. Step 4: Simplify right side
    210,262.33x = 43,462,136,923.14
  5. Step 5: Solve for x
    x = 43,462,136,923.14/210,262.33
  6. Step 6: Final answer
    x = 206,704.35

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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.