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Finding the Fourth Proportional to 210,538.28, 290,542.10 and 115,045.80

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Solution

The fourth proportional to 210,538.28, 290,542.10 and 115,045.80 is: 158,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,538.28 : 290,542.10 = 115,045.80 : x
  2. Step 2: Convert to fraction form
    210,538.28/290,542.10 = 115,045.80/x
  3. Step 3: Cross multiply
    210,538.28x = 290,542.10 × 115,045.80
  4. Step 4: Simplify right side
    210,538.28x = 33,425,648,328.18
  5. Step 5: Solve for x
    x = 33,425,648,328.18/210,538.28
  6. Step 6: Final answer
    x = 158,762.81

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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.