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Finding the Fourth Proportional to 216,423.12, 298,644.48 and 120,916.56

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Solution

The fourth proportional to 216,423.12, 298,644.48 and 120,916.56 is: 166,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,423.12 : 298,644.48 = 120,916.56 : x
  2. Step 2: Convert to fraction form
    216,423.12/298,644.48 = 120,916.56/x
  3. Step 3: Cross multiply
    216,423.12x = 298,644.48 × 120,916.56
  4. Step 4: Simplify right side
    216,423.12x = 36,111,063,184.59
  5. Step 5: Solve for x
    x = 36,111,063,184.59/216,423.12
  6. Step 6: Final answer
    x = 166,854.00

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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.