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Finding the Fourth Proportional to 216,266.31, 298,444.37 and 120,774.33

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Solution

The fourth proportional to 216,266.31, 298,444.37 and 120,774.33 is: 166,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,266.31 : 298,444.37 = 120,774.33 : x
  2. Step 2: Convert to fraction form
    216,266.31/298,444.37 = 120,774.33/x
  3. Step 3: Cross multiply
    216,266.31x = 298,444.37 × 120,774.33
  4. Step 4: Simplify right side
    216,266.31x = 36,044,418,225.15
  5. Step 5: Solve for x
    x = 36,044,418,225.15/216,266.31
  6. Step 6: Final answer
    x = 166,666.82

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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.