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Finding the Fourth Proportional to 334,114, 501,188.02 and 97,474.54

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Solution

The fourth proportional to 334,114, 501,188.02 and 97,474.54 is: 146,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,114 : 501,188.02 = 97,474.54 : x
  2. Step 2: Convert to fraction form
    334,114/501,188.02 = 97,474.54/x
  3. Step 3: Cross multiply
    334,114x = 501,188.02 × 97,474.54
  4. Step 4: Simplify right side
    334,114x = 48,853,071,703.01
  5. Step 5: Solve for x
    x = 48,853,071,703.01/334,114
  6. Step 6: Final answer
    x = 146,216.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.