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Finding the Fourth Proportional to 183,042.81, 274,459.09 and 97,548.41

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Solution

The fourth proportional to 183,042.81, 274,459.09 and 97,548.41 is: 146,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,042.81 : 274,459.09 = 97,548.41 : x
  2. Step 2: Convert to fraction form
    183,042.81/274,459.09 = 97,548.41/x
  3. Step 3: Cross multiply
    183,042.81x = 274,459.09 × 97,548.41
  4. Step 4: Simplify right side
    183,042.81x = 26,773,047,839.55
  5. Step 5: Solve for x
    x = 26,773,047,839.55/183,042.81
  6. Step 6: Final answer
    x = 146,266.59

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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.