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Finding the Fourth Proportional to 216,178.98, 298,314.60 and 120,691.74

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Solution

The fourth proportional to 216,178.98, 298,314.60 and 120,691.74 is: 166,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178.98 : 298,314.60 = 120,691.74 : x
  2. Step 2: Convert to fraction form
    216,178.98/298,314.60 = 120,691.74/x
  3. Step 3: Cross multiply
    216,178.98x = 298,314.60 × 120,691.74
  4. Step 4: Simplify right side
    216,178.98x = 36,004,108,141.40
  5. Step 5: Solve for x
    x = 36,004,108,141.40/216,178.98
  6. Step 6: Final answer
    x = 166,547.68

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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.