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Finding the Fourth Proportional to 210,538.89, 290,544.42 and 115,045.59

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Solution

The fourth proportional to 210,538.89, 290,544.42 and 115,045.59 is: 158,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,538.89 : 290,544.42 = 115,045.59 : x
  2. Step 2: Convert to fraction form
    210,538.89/290,544.42 = 115,045.59/x
  3. Step 3: Cross multiply
    210,538.89x = 290,544.42 × 115,045.59
  4. Step 4: Simplify right side
    210,538.89x = 33,425,854,220.11
  5. Step 5: Solve for x
    x = 33,425,854,220.11/210,538.89
  6. Step 6: Final answer
    x = 158,763.33

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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.