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Finding the Fourth Proportional to 216,713, 299,077.20 and 121,226.12

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Solution

The fourth proportional to 216,713, 299,077.20 and 121,226.12 is: 167,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,713 : 299,077.20 = 121,226.12 : x
  2. Step 2: Convert to fraction form
    216,713/299,077.20 = 121,226.12/x
  3. Step 3: Cross multiply
    216,713x = 299,077.20 × 121,226.12
  4. Step 4: Simplify right side
    216,713x = 36,255,968,536.46
  5. Step 5: Solve for x
    x = 36,255,968,536.46/216,713
  6. Step 6: Final answer
    x = 167,299.46

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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.