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Finding the Fourth Proportional to 314,092.67, 471,294.68 and 124,548.97

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Solution

The fourth proportional to 314,092.67, 471,294.68 and 124,548.97 is: 186,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,092.67 : 471,294.68 = 124,548.97 : x
  2. Step 2: Convert to fraction form
    314,092.67/471,294.68 = 124,548.97/x
  3. Step 3: Cross multiply
    314,092.67x = 471,294.68 × 124,548.97
  4. Step 4: Simplify right side
    314,092.67x = 58,699,266,960.48
  5. Step 5: Solve for x
    x = 58,699,266,960.48/314,092.67
  6. Step 6: Final answer
    x = 186,885.19

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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.