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Finding the Fourth Proportional to 216,090.16, 298,225.12 and 120,605.74

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Solution

The fourth proportional to 216,090.16, 298,225.12 and 120,605.74 is: 166,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,090.16 : 298,225.12 = 120,605.74 : x
  2. Step 2: Convert to fraction form
    216,090.16/298,225.12 = 120,605.74/x
  3. Step 3: Cross multiply
    216,090.16x = 298,225.12 × 120,605.74
  4. Step 4: Simplify right side
    216,090.16x = 35,967,661,284.19
  5. Step 5: Solve for x
    x = 35,967,661,284.19/216,090.16
  6. Step 6: Final answer
    x = 166,447.47

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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.