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Finding the Fourth Proportional to 202,457.40, 279,408.06 and 111,821.64

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Solution

The fourth proportional to 202,457.40, 279,408.06 and 111,821.64 is: 154,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,457.40 : 279,408.06 = 111,821.64 : x
  2. Step 2: Convert to fraction form
    202,457.40/279,408.06 = 111,821.64/x
  3. Step 3: Cross multiply
    202,457.40x = 279,408.06 × 111,821.64
  4. Step 4: Simplify right side
    202,457.40x = 31,243,867,498.42
  5. Step 5: Solve for x
    x = 31,243,867,498.42/202,457.40
  6. Step 6: Final answer
    x = 154,323.17

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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.