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Finding the Fourth Proportional to 312,086.49, 468,019.03 and 112,353.25

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Solution

The fourth proportional to 312,086.49, 468,019.03 and 112,353.25 is: 168,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,086.49 : 468,019.03 = 112,353.25 : x
  2. Step 2: Convert to fraction form
    312,086.49/468,019.03 = 112,353.25/x
  3. Step 3: Cross multiply
    312,086.49x = 468,019.03 × 112,353.25
  4. Step 4: Simplify right side
    312,086.49x = 52,583,459,561.93
  5. Step 5: Solve for x
    x = 52,583,459,561.93/312,086.49
  6. Step 6: Final answer
    x = 168,490.02

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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.