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Finding the Fourth Proportional to 74,204.56, 102,402.18 and 40,214.08

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Solution

The fourth proportional to 74,204.56, 102,402.18 and 40,214.08 is: 55,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,204.56 : 102,402.18 = 40,214.08 : x
  2. Step 2: Convert to fraction form
    74,204.56/102,402.18 = 40,214.08/x
  3. Step 3: Cross multiply
    74,204.56x = 102,402.18 × 40,214.08
  4. Step 4: Simplify right side
    74,204.56x = 4,118,009,458.69
  5. Step 5: Solve for x
    x = 4,118,009,458.69/74,204.56
  6. Step 6: Final answer
    x = 55,495.37

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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.