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Finding the Fourth Proportional to 145,090.78, 200,237.23 and 80,564.02

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Solution

The fourth proportional to 145,090.78, 200,237.23 and 80,564.02 is: 111,184.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,090.78 : 200,237.23 = 80,564.02 : x
  2. Step 2: Convert to fraction form
    145,090.78/200,237.23 = 80,564.02/x
  3. Step 3: Cross multiply
    145,090.78x = 200,237.23 × 80,564.02
  4. Step 4: Simplify right side
    145,090.78x = 16,131,916,202.46
  5. Step 5: Solve for x
    x = 16,131,916,202.46/145,090.78
  6. Step 6: Final answer
    x = 111,184.99

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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.